Jörg Frauendiener, Our people, Department of Mathematics and Statistics

(PhD Tübingen)

Chair of Applied Mathematics
Fellow of the Royal Society of NZ

Office: Science III, room 223
Tel +64 3 479 7770
Email joerg.frauendiener@otago.ac.nz

Research Interests

Mathematical Physics.

In particular:

Gravitational waves
Conformal field equations and asymptotic structure
Initial boundary value problems for Einstein's field equations

Other interests:

Theta-functions in integrable systems
Air-Water interfaces

I am prepared to supervise projects on various topics within applied mathematics. Come to see me to discuss the possibilities.

Publications

Frauendiener, J., Goodenbour, A., & Stevens, C. (2024). The non-linear perturbation of a black hole by gravitational waves. III. Newman-Penrose constants. Classical & Quantum Gravity, 41, 065005. doi: 10.1088/1361-6382/ad2288 Journal - Research Article

Frauendiener, J. (2024). Gravitational waves: A conceptual introduction. Proceedings of the 6th Australasian Conference on Wave Science (KOZWaves). (pp. 15). Retrieved from https://www.otago.ac.nz/news/events/kozwaves-2024-the-6th-australasian-conference-on-wave-science2 Conference Contribution - Published proceedings: Abstract

Barboza Rossetto, P. H., Frauendiener, J., Brunet, R., & Melatos, A. (2023). Magnetically confined mountains on accreting neutron stars in general relativity. Monthly Notices of the Royal Astronomical Society, 526, 2058-2066. doi: 10.1093/mnras/stad2850 Journal - Research Article

Frauendiener, J. (2022, July). LISA: New Zealand and European collaboration in outer space. Invited presentation at the 56th Otago Foreign Policy School: Ascending into space: New Zealand's role as a space-faring nation, Dunedin, New Zealand. Conference Contribution - Verbal presentation and other Conference outputs

Frauendiener, J. (2022). DWC abstract. Proceedings of the Dodd-Walls Centre Dunedin Symposium. Retrieved from https://www.doddwalls.ac.nz/events Conference Contribution - Published proceedings: Abstract

2024

Journal - Research Article

Conference Contribution - Published proceedings: Abstract

2023

Journal - Research Article

2022

Journal - Research Article

Arun, K. G., Belgacem, E., Benkel, R., Bernard, L., Berti, E., Bertone, G., … Frauendiener, J., … Hennig, J., … Zumalacárregui, M. (2022). New horizons for fundamental physics with LISA. Living Reviews in Relativity, 25, 4. doi: 10.1007/s41114-022-00036-9

Frauendiener, J., Klein, C., Muhammad, U., & Stoilov, N. (2022). Numerical study of Davey–Stewartson I systems. Studies in Applied Mathematics, 149, 76-94. doi: 10.1111/sapm.12491

Frauendiener, J., & Stevens, C. (2022). A new look at the Bondi-Sachs energy-momentum. Classical & Quantum Gravity, 39(2), 025007. doi: 10.1088/1361-6382/ac3e4f

Conference Contribution - Published proceedings: Abstract

Frauendiener, J. (2022). DWC abstract. Proceedings of the Dodd-Walls Centre Dunedin Symposium. Retrieved from https://www.doddwalls.ac.nz/events

Hennig, J., Frauendiener, J., & Macedo, R. P. (2022). The conformally invariant wave equation near spacelike infinity on Minkowski, Schwarzschild and Kerr. Proceedings of the Australasian Society for General Relativity & Gravitation (ASGRG) 11th Australasian Conference on General Relativity & Gravitation. Retrieved from https://www.asgrg2021.org/

Conference Contribution - Verbal presentation and other Conference outputs

2021

Journal - Research Article

Frauendiener, J., & Stevens, C. (2021). The non-linear perturbation of a black hole by gravitational waves. I. The Bondi-Sachs mass loss. Classical & Quantum Gravity, 38, 194002. doi: 10.1088/1361-6382/ac1be3

Frauendiener, J., Hakata, J., & Stevens, C. (2021). Can gravitational waves halt the expansion of the universe? Universe, 7(7), 228. doi: 10.3390/universe7070228

2020

Journal - Research Article

Beyer, F., Frauendiener, J., & Hennig, J. (2020). Explorations of the infinite regions of spacetime. International Journal of Modern Physics D, 29(10), 2030007. doi: 10.1142/S0218271820300074

Beyer, F., Frauendiener, J., & Ritchie, J. (2020). Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations. Physical Review D, 101, 084013. doi: 10.1103/PhysRevD.101.084013

Journal - Research Other

Barausse, E., Berti, E., Hertog, T., Hughes, S. A., Jetzer, P., Pani, P., … Frauendiener, J., … Hennig, J., … Yunes, N. (2020). Prospects for fundamental physics with LISA [Invited report]. General Relativity & Gravitation, 52, 81. doi: 10.1007/s10714-020-02691-1

Frauendiener, J. (2020). Gravitational waves and the Sagnac effect. Classical & Quantum Gravity, 37(5), 05LT01. doi: 10.1088/1361-6382/ab574c

2019

Journal - Research Article

Daszuta, B., & Frauendiener, J. (2019). Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild. Classical & Quantum Gravity, 36, 185008. doi: 10.1088/1361-6382/ab34d8

Beyer, F., Escobar, L., Frauendiener, J., & Ritchie, J. (2019). Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations. Classical & Quantum Gravity, 36(17), 175005. doi: 10.1088/1361-6382/ab3482

Doulis, G., Frauendiener, J., Stevens, C., & Whale, B. (2019). COFFEE: An MPI-parallelized Python package for the numerical evolution of differential equations. SoftwareX, 10, 100283. doi: 10.1016/j.softx.2019.100283

Frauendiener, J., Jaber, C., & Klein, C. (2019). Efficient computation of multidimensional theta functions. Journal of Geometry & Physics, 141, 147-158. doi: 10.1016/j.geomphys.2019.03.011

Conference Contribution - Published proceedings: Abstract

Frauendiener, J. (2019). The Sagnac effect in general relativity. Proceedings of the 10th Australasian Conference on General Relativity and Gravitation (ACGRG). Retrieved from https://sms.wgtn.ac.nz/Events/AotearoaACGRG10

Working Paper; Discussion Paper; Technical Report

Doulis, G., Frauendiener, J., Stevens, C., & Whale, B. (2019). COFFEE: An MPI-parallelized Python package for the numerical evolution of differential equations. arXiv. Retrieved from https://arxiv.org/abs/1903.12482

2018

Chapter in Book - Research

Frauendiener, J. (2018). Conformal infinity: Development and applications. In D. E. Rowe, T. Sauer & S. A. Walter (Eds.), Beyond Einstein: Perspectives on geometry, gravitation, and cosmology in the twentieth century: Einstein studies (Vol. 14). New York, NY: Springer. doi: 10.1007/978-1-4939-7708-6_16

Journal - Research Article

Frauendiener, J. (2018). Notes on the Sagnac effect in general relativity. General Relativity & Gravitation, 50, 147. doi: 10.1007/s10714-018-2470-5

Frauendiener, J., & Hennig, J. (2018). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. III: Nonspherical Schwarzschild waves and singularities at null infinity. Classical & Quantum Gravity, 35, 065015. doi: 10.1088/1361-6382/aaac8d

Other Research Output

Frauendiener, J., Hennig, J. (2018, March). How to reach infinity? CQG+ companion blog. Retrieved from https://cqgplus.com/2018/03/06/how-to-reach-infinity

2017

Journal - Research Article

Beyer, F., Frauendiener, J., Stevens, C., & Whale, B. (2017). Numerical initial boundary value problem for the generalized conformal field equations. Physical Review D, 96(8), 084020. doi: 10.1103/PhysRevD.96.084020

Beyer, F., Escobar, L., & Frauendiener, J. (2017). Asymptotics of solutions of a hyperbolic formulation of the constraint equations. Classical & Quantum Gravity, 34(20), 205014. doi: 10.1088/1361-6382/aa8be6

Beyer, F., Escobar, L., & Frauendiener, J. (2017). Criticality of inhomogeneous Nariai-like cosmological models. Physical Review D, 95(8), 084030. doi: 10.1103/PhysRevD.95.084030

Doulis, G., & Frauendiener, J. (2017). Global simulations of Minkowski spacetime including spacelike infinity. Physical Review D, 95(2), 024035. doi: 10.1103/PhysRevD.95.024035

Frauendiener, J., & Hennig, J. (2017). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild background. Classical & Quantum Gravity, 34, 045005. doi: 10.1088/1361-6382/aa54c4

Frauendiener, J., & Klein, C. (2017). Computational approach to compact Riemann surfaces. Nonlinearity, 30(1), 138-172. doi: 10.1088/1361-6544/30/1/138

Working Paper; Discussion Paper; Technical Report

Beyer, F., Escobar, L., & Frauendiener, J. (2017). Criticality of inhomogeneous Nariai-like cosmological models. arXiv. Retrieved from https://arxiv.org/abs/1702.02694

2016

Journal - Research Article

Beyer, F., Escobar, L., & Frauendiener, J. (2016). Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S³ and symmetry group U(1). Physical Review D, 93, 043009. doi: 10.1103/PhysRevD.93.043009

Conference Contribution - Published proceedings: Abstract

Frauendiener, J. (2016). A numerical implementation of the Corvino-Schoen gluing method in spherical symmetry. Proceedings of the 21st International Conference on General Relativity and Gravitation (GR21). (pp. 118). Retrieved from http://www.gr21.org/

Frauendiener, J. (2016). Using the generalised conformal field equations to study the 'ringing' of a Schwarzschild black hole. Proceedings of the 21st International Conference on General Relativity and Gravitation (GR21). (pp. 80). Retrieved from http://www.gr21.org/

2015

Journal - Research Article

Beyer, F., Daszuta, B., & Frauendiener, J. (2015). A spectral method for half-integer spin fields based on spin-weighted spherical harmonics. Classical & Quantum Gravity, 32(17), 175013. doi: 10.1088/0264-9381/32/17/175013

Frauendiener, J., & Klein, C. (2015). Computational approach to hyperelliptic Riemann surfaces. Letters in Mathematical Physics, 105(3), 379-400. doi: 10.1007/s11005-015-0743-4

Working Paper; Discussion Paper; Technical Report

Beyer, F., Escobar, L., & Frauendiener, J. (2015). Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S³ and symmetry group U(1). arXiv. Retrieved from http://arxiv.org/abs/1505.05920v1

2014

Journal - Research Article

Frauendiener, J., & Stevens, C. (2014). Numerical evolution of plane gravitational waves in the Friedrich-Nagy gauge. Physical Review D, 89, 104026. doi: 10.1103/PhysRevD.89.104026

Frauendiener, J., & Hennig, J. (2014). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. Classical & Quantum Gravity, 31(8), 085010. doi: 10.1088/0264-9381/31/8/085010

Beyer, F., Daszuta, B., Frauendiener, J., & Whale, B. (2014). Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics. Classical & Quantum Gravity, 31, 075019. doi: 10.1088/0264-9381/31/7/075019

Conference Contribution - Published proceedings: Full paper

Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2014). The spin-2 equation on Minkowski background. In A. Garcia-Parrado, F. C. Mena, R. Moura & E. Vas (Eds.), Progress in Mathematical Relativity, Gravitation and Cosmology (Vol. 60). (pp. 465-468). Berlin: Springer. doi: 10.1007/978-3-642-40157-2_71

Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2014). Linearized gravitational waves near space-like and null infinity. In A. Garcia-Parrado, F. C. Mena, R. Moura & E. Vas (Eds.), Progress in Mathematical Relativity, Gravitation and Cosmology (Vol. 60). (pp. 3-17). Berlin: Springer. doi: 10.1007/978-3-642-40157-2_1

2013

Journal - Research Article

Doulis, G., & Frauendiener, J. (2013). The second order spin-2 system in flat space near space-like and null-infinity. General Relativity & Gravitation, 45(7), 1365-1385. doi: 10.1007/s10714-013-1532-y

Müller, T., & Frauendiener, J. (2013). Charged particles constrained to a curved surface. European Journal of Physics, 34(1), 147-160. doi: 10.1088/0143-0807/34/1/147

Conference Contribution - Verbal presentation and other Conference outputs

Frauendiener, J. (2013, December). Scattering of gravitational waves, a geometric perspective. Plenary presentation at the New Zealand Mathematical Society Colloquium, Tauranga, New Zealand.

2012

Journal - Research Article

Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2012). Numerical space-times near space-like and null infinity: The spin-2 system on Minkowski space. Classical & Quantum Gravity, 29(24), 245013. doi: 10.1088/0264-9381/29/24/245013

Peter, R., & Frauendiener, J. (2012). Free versus constrained evolution of the 2+1 equivariant wave map. Journal of Physics A, 45(5), 055201. doi: 10.1088/1751-8113/45/5/055201

Müller, T., & Frauendiener, J. (2012). Interactive visualization of a thin disc around a Schwarzschild black hole. European Journal of Physics, 33(4), 955-963. doi: 10.1088/0143-0807/33/4/955

Journal - Professional & Other Non-Research Articles

Frauendiener, J., & Szabados, L. B. (2012). Corrigendum: A note on the post-Newtonian limit of quasi-local energy expressions. Classical & Quantum Gravity, 29, 069501. doi: 10.1088/0264-9381/29/6/069501

Conference Contribution - Verbal presentation and other Conference outputs

Frauendiener, J. (2012, February). Witten spinors on maximal, conformally flat hypersurfaces. Verbal presentation at the Sixth Australasian Conference on General Relativity and Gravitation, Queenstown, New Zealand.

2011

Chapter in Book - Research

Frauendiener, J., & Klein, C. (2011). Algebraic curves and Riemann surfaces in Matlab. In A. L. Bobenko & C. Klein (Eds.), Computational approach to Riemann surfaces: Lecture notes in mathematics (Vol. 2013). (pp. 125-162). Berlin, Germany: Springer. doi: 10.1007/978-3-642-17413-1_3

Journal - Research Article

Frauendiener, J., & Szabados, L. B. (2011). A note on the post-Newtonian limit of quasi-local energy expressions. Classical & Quantum Gravity, 28(23), 235009. doi: 10.1088/0264-9381/28/23/235009

Frauendiener, J., Klein, C., & Shramchenko, V. (2011). Efficient computation of the branching structure of an algebraic curve. Computational Methods & Function Theory, 11(2), 527-546.

Frauendiener, J., Nester, J. M., & Szabados, L. B. (2011). Witten spinors on maximal, conformally flat hypersurfaces. Classical & Quantum Gravity, 28(18), 185004. doi: 10.1088/0264-9381/28/18/185004

Thompson, R. T., Cummer, S. A., & Frauendiener, J. (2011). Generalized transformation optics of linear materials. Journal of Optics, 13(5), 055105. doi: 10.1088/2040-8978/13/5/055105

Müller, T., & Frauendiener, J. (2011). Studying null and time-like geodesics in the classroom. European Journal of Physics, 32, 747-759. doi: 10.1088/0143-0807/32/3/011

Thompson, R. T., Cummer, S. A., & Frauendiener, J. (2011). A completely covariant approach to transformation optics. Journal of Optics, 13(2), 024008. doi: 10.1088/2040-8978/13/2/024008

Journal - Research Other

Frauendiener, J. (2011). [Review of the book: Miguel Alcubierre: Introduction to 3 + 1 numerical relativity]. General Relativity & Gravitation, 43(10), 2931-2933. doi: 10.1007/s10714-011-1195-5

2010

Journal - Research Article

Thompson, R. T., & Frauendiener, J. (2010). Dielectric analog space-times. Physical Review D, 82, 124021. doi: 10.1103/PhysRevD.82.124021

Richter, R., & Frauendiener, J. (2010). Discrete differential forms for (1+1)-dimensional cosmological space-times. SIAM Journal on Scientific Computing, 32(2), 1140-1158. doi: 10.1137/080734583

Ammann, C., Frauendiener, J., & Holton, D. (2010). German undergraduate mathematics enrolment numbers: Background and change. International Journal of Mathematical Education in Science & Technology, 41(4), 435-449. doi: 10.1080/00207390903564629

Conference Contribution - Verbal presentation and other Conference outputs

Frauendiener, J. (2010, January). Gravitational waves: A new window to the universe. Verbal presentation at the Biennial Australia/New Zealand Humboldt Conference, Dunedin, New Zealand.

2009

Journal - Research Article

Konrad, W., Apeltauer, C., Frauendiener, J., Barthlott, W., & Roth-Nebelsick, A. (2009). Applying methods from differential geometry to devise stable and persistent air layers attached to objects immersed in water. Journal of Bionic Engineering, 6(4), 350-356. doi: 10.1016/S1672-6529(08)60133-X

2008

Journal - Research Article

Frauendiener, J. (2008). The applicability of constrained symplectic integrators in general relativity. Journal of Physics A, 41, 382005. doi: 10.1088/1751-8113/41/38/382005

Other Research Output

Frauendiener, J. (2008, August). Sightseeing in Einstein's world. University of Otago, Dunedin, New Zealand. [Inaugural Professorial Lecture].

2007

Journal - Research Article

Richter, R., Frauendiener, J., & Vogel, M. (2007). Application of discrete differential forms to spherically symmetric systems in general relativity. Classical & Quantum Gravity, 24(2), 433-453. doi: 10.1088/0264-9381/24/2/010

Frauendiener, J., & Kabobel, A. (2007). The static spherically symmetric body in relativistic elasticity. Classical & Quantum Gravity, 24(18), 4817-4837. doi: 10.1088/0264-9381/24/18/016

2006

Edited Book - Research

Frauendiener, J., Giulini, D. J. W., & Perlick, V. (Eds.). (2006). Analytical and numerical approaches to mathematical relativity: Lecture notes in physics (Vol. 692). Berlin, Germany: Springer, 279p. doi: 10.1007/b11550259

Chapter in Book - Research

Frauendiener, J. (2006). The computational aspects of general relativity. In E. Krause, Y. I. Shokin, M. Resch & N. Shokina (Eds.), Computational science and high performance computing II: Notes on numerical fluid mechanics and multidisciplinary design (Vol. 91). (pp. 115-127). Berlin, Germany: Springer.

Journal - Research Article

Pareja, M. J., & Frauendiener, J. (2006). Constant scalar curvature hypersurfaces in extended Schwarzschild space-time. Physical Review D, 74(4), 044026. doi: 10.1103/PhysRevD.74.044026

Frauendiener, J. (2006). Discrete differential forms in general relativity. Classical & Quantum Gravity, 23(16), S369-S385. doi: 10.1088/0264-9381/23/16/S05

Frauendiener, J., & Klein, C. (2006). Hyperelliptic theta-functions and spectral methods: KdV and KP solutions. Letters in Mathematical Physics, 76(2-3), 249-267. doi: 10.1007/s11005-006-0068-4