Built on

P. A. Cano and A. Ruipérez, Leading higher-derivative corrections to Kerr geometry , JHEP 05
Original
1901
Earlier work this paper cites.
H. S. Reall and J. E. Santos, Higher derivative corrections to Kerr black hole thermodynamics , JHEP 04
Original
1901
Earlier work this paper cites.
V. Cardoso and P. Pani, Testing the nature of dark compact objects: a status report , Living Rev. Rel. 22
Original
1904
Earlier work this paper cites.
P. Pani and A. Maselli, Love in Extrema Ratio , Int. J. Mod. Phys. D 28
Original
1905
Earlier work this paper cites.
S. Kastha, A. Gupta, K. G. Arun, B. S. Sathyaprakash and C. Van Den Broeck, Testing the multipole structure and conservative dynamics of compact binaries using gravitational wave observations: The spinning case , Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
N. Sennett, R. Brito, A. Buonanno, V. Gorbenko and L. Senatore, Gravitational-Wave Constraints on an Effective Field-Theory Extension of General Relativity , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
R. P. Geroch, Multipole moments. II. Curved space , J. Math. Phys. 11
1970
Earlier work this paper cites.
R. O. Hansen, Multipole moments of stationary space-times , J. Math. Phys. 15
1974
Earlier work this paper cites.
T. Regge and C. Teitelboim, Role of Surface Integrals in the Hamiltonian Formulation of General Relativity , Annals Phys. 88
1974
Earlier work this paper cites.
K. S. Thorne, Multipole Expansions of Gravitational Radiation , Rev. Mod. Phys. 52
1980
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Y. Gürsel, Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation , General Relativity and Gravitation 15
1983
Earlier work this paper cites.
D. J. Gross and E. Witten, Superstring Modifications of Einstein’s Equations , Nucl. Phys. B 277
1986
Earlier work this paper cites.
E. A. Bergshoeff and M. de Roo, The Quartic Effective Action of the Heterotic String and Supersymmetry , Nucl. Phys. B 328
1989
Earlier work this paper cites.
S. A. Fulling, R. C. King, B. G. Wybourne and C. J. Cummins, Normal forms for tensor polynomials. i. the riemann tensor , Classical and Quantum Gravity 9
1992
Earlier work this paper cites.
R. M. Wald, Black hole entropy is the Noether charge , Phys. Rev. D 48
1993
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T. Jacobson, G. Kang and R. C. Myers, On black hole entropy , Phys. Rev. D 49
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V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy , Phys. Rev. D 50
1994
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F. D. Ryan, Gravitational waves from the inspiral of a compact object into a massive, axisymmetric body with arbitrary multipole moments , Phys. Rev. D 52
1995
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K. Danzmann and the LISA study team, LISA: laser interferometer space antenna for gravitational wave measurements , Classical and Quantum Gravity 13
1996
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P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis and E. Winstanley, Dilatonic black holes in higher curvature string gravity , Phys. Rev. D 54
1996
Earlier work this paper cites.
E. Poisson, Gravitational waves from inspiraling compact binaries: The Quadrupole moment term , Phys. Rev. D 57
1998
Earlier work this paper cites.
G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges , Nucl. Phys. B 633
2002
Earlier work this paper cites.
R. Jackiw and S. Y. Pi, Chern-Simons modification of general relativity , Phys. Rev. D 68
2003
Earlier work this paper cites.

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2022

Black Hole Multipoles in Higher-Derivative Gravity

Cano, Pablo A., Ganchev, Bogdan, Mayerson, Daniel R. et al.

Understand

We consider a broad family of higher-derivative extensions of four-dimensional Einstein gravity and study the multipole moments of rotating black holes therein.

We carefully show that the various definitions of multipoles carry over from general relativity, and compute these multipoles for higher-derivative Kerr using the ACMC expansion formalism.
We obtain the mass $M_{n}$ and current $S_{n}$ multipoles as a series expansions in the dimensionless spin; in some cases we are able to resum these series into closed-form expressions.
Moreover, we observe the existence of intriguing relations between the corrections to the parity-odd multipoles $S_{2n}\neq 0$ and $M_{2n+1}\neq 0$ that break equatorial symmetry, and the parity-preserving corrections that only modify $S_{2n+1}$ and $M_{2n}$.

Built on

P. A. Cano and A. Ruipérez, Leading higher-derivative corrections to Kerr geometry , JHEP 05
Original
1901
Earlier work this paper cites.
H. S. Reall and J. E. Santos, Higher derivative corrections to Kerr black hole thermodynamics , JHEP 04
Original
1901
Earlier work this paper cites.
V. Cardoso and P. Pani, Testing the nature of dark compact objects: a status report , Living Rev. Rel. 22
Original
1904
Earlier work this paper cites.
P. Pani and A. Maselli, Love in Extrema Ratio , Int. J. Mod. Phys. D 28
Original
1905
Earlier work this paper cites.
S. Kastha, A. Gupta, K. G. Arun, B. S. Sathyaprakash and C. Van Den Broeck, Testing the multipole structure and conservative dynamics of compact binaries using gravitational wave observations: The spinning case , Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
N. Sennett, R. Brito, A. Buonanno, V. Gorbenko and L. Senatore, Gravitational-Wave Constraints on an Effective Field-Theory Extension of General Relativity , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
R. P. Geroch, Multipole moments. II. Curved space , J. Math. Phys. 11
1970
Earlier work this paper cites.
R. O. Hansen, Multipole moments of stationary space-times , J. Math. Phys. 15
1974
Earlier work this paper cites.
T. Regge and C. Teitelboim, Role of Surface Integrals in the Hamiltonian Formulation of General Relativity , Annals Phys. 88
1974
Earlier work this paper cites.
K. S. Thorne, Multipole Expansions of Gravitational Radiation , Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
Y. Gürsel, Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation , General Relativity and Gravitation 15
1983
Earlier work this paper cites.
D. J. Gross and E. Witten, Superstring Modifications of Einstein’s Equations , Nucl. Phys. B 277
1986
Earlier work this paper cites.
E. A. Bergshoeff and M. de Roo, The Quartic Effective Action of the Heterotic String and Supersymmetry , Nucl. Phys. B 328
1989
Earlier work this paper cites.
S. A. Fulling, R. C. King, B. G. Wybourne and C. J. Cummins, Normal forms for tensor polynomials. i. the riemann tensor , Classical and Quantum Gravity 9
1992
Earlier work this paper cites.
R. M. Wald, Black hole entropy is the Noether charge , Phys. Rev. D 48
1993
Earlier work this paper cites.
T. Jacobson, G. Kang and R. C. Myers, On black hole entropy , Phys. Rev. D 49
1994
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy , Phys. Rev. D 50
1994
Earlier work this paper cites.
F. D. Ryan, Gravitational waves from the inspiral of a compact object into a massive, axisymmetric body with arbitrary multipole moments , Phys. Rev. D 52
1995
Earlier work this paper cites.
K. Danzmann and the LISA study team, LISA: laser interferometer space antenna for gravitational wave measurements , Classical and Quantum Gravity 13
1996
Earlier work this paper cites.
P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis and E. Winstanley, Dilatonic black holes in higher curvature string gravity , Phys. Rev. D 54
1996
Earlier work this paper cites.
E. Poisson, Gravitational waves from inspiraling compact binaries: The Quadrupole moment term , Phys. Rev. D 57
1998
Earlier work this paper cites.
G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges , Nucl. Phys. B 633
2002
Earlier work this paper cites.
R. Jackiw and S. Y. Pi, Chern-Simons modification of general relativity , Phys. Rev. D 68
2003
Earlier work this paper cites.