Built on

S. Cai and K. D. Wang, “Non-vanishing of tidal Love numbers,” arXiv:1906.06850 [hep-th]
Original
1906
Earlier work this paper cites.
E. E. Flanagan and T. Hinderer, “Constraining neutron star tidal Love numbers with gravitational wave detectors,” Phys. Rev. D 77
Original
1915
Earlier work this paper cites.
K. S. Thorne and A. Campolattaro, “Non-radial pulsation of general-relativistic stellar models. I. Analytic analysis for L ≥ 2,” Astrophys.J., 149
1967
Earlier work this paper cites.
C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” San Francisco 1973, 1279p
1973
Earlier work this paper cites.
K. S. Thorne and J. B. Hartle, “Laws of motion and precession for black holes and other bodies,” Phys. Rev. D 31
1984
Earlier work this paper cites.
L. Randall and R. Sundrum, “An Alternative to compactification,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
T. Shiromizu, K. i. Maeda and M. Sasaki, “The Einstein equation on the 3-brane world,” Phys. Rev. D 62
2000
Earlier work this paper cites.
A. Chamblin, S. W. Hawking and H. S. Reall, “Brane world black holes,” Phys. Rev. D 61
2000
Earlier work this paper cites.
N. Dadhich, R. Maartens, P. Papadopoulos and V. Rezania, “Black holes on the brane,” Phys. Lett. B 487
2000
Earlier work this paper cites.

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2020

Tidal Love Numbers of Braneworld Black Holes and Wormholes

Tan, H. S.

Understand

We study the tidal deformations of various known black hole and wormhole solutions in a simple context of warped compactification -- Randall-Sundrum theory in which the four-dimensional spacetime geometry is that of a brane embedded in five-dimensional Anti-de Sitter spacetime.

The linearized gravitational perturbation theory generically reduces to either an inhomogeneous second-order ODE or a homogeneous third-order ODE of which indicial roots associated with an expansion about asymptotic infinity can be related to Tidal Love Numbers.
We describe various tidal-deformed metrics, classify their indicial roots, and find that in particular the quadrupolar TLN is generically non-vanishing.
Thus it could be a signature of a braneworld by virtue of its potential appearance in gravitational waveforms emitted in binary merger events.

Built on

S. Cai and K. D. Wang, “Non-vanishing of tidal Love numbers,” arXiv:1906.06850 [hep-th]
Original
1906
Earlier work this paper cites.
E. E. Flanagan and T. Hinderer, “Constraining neutron star tidal Love numbers with gravitational wave detectors,” Phys. Rev. D 77
Original
1915
Earlier work this paper cites.
K. S. Thorne and A. Campolattaro, “Non-radial pulsation of general-relativistic stellar models. I. Analytic analysis for L ≥ 2,” Astrophys.J., 149
1967
Earlier work this paper cites.
C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” San Francisco 1973, 1279p
1973
Earlier work this paper cites.
K. S. Thorne and J. B. Hartle, “Laws of motion and precession for black holes and other bodies,” Phys. Rev. D 31
1984
Earlier work this paper cites.
L. Randall and R. Sundrum, “An Alternative to compactification,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
T. Shiromizu, K. i. Maeda and M. Sasaki, “The Einstein equation on the 3-brane world,” Phys. Rev. D 62
2000
Earlier work this paper cites.
A. Chamblin, S. W. Hawking and H. S. Reall, “Brane world black holes,” Phys. Rev. D 61
2000
Earlier work this paper cites.
N. Dadhich, R. Maartens, P. Papadopoulos and V. Rezania, “Black holes on the brane,” Phys. Lett. B 487
2000
Earlier work this paper cites.

Similar

C. Germani and R. Maartens, “Stars in the brane world,” Phys. Rev. D 64
2001
Cited alongside, same era.
R. Casadio, A. Fabbri and L. Mazzacurati, “New black holes in the brane world?,” Phys. Rev. D 65
2002
Cited alongside, same era.
S. S. Seahra and P. S. Wesson, “Application of the Campbell-Magaard theorem to higher dimensional physics,” Class. Quant. Grav. 20
2003
Cited alongside, same era.
K. A. Bronnikov, V. N. Melnikov and H. Dehnen, “On a general class of brane world black holes,” Phys. Rev. D 68
2003
Cited alongside, same era.
R. Maartens, “Brane world gravity,” Living Rev. Rel. 7
2004
Cited alongside, same era.
T. Hinderer, “Tidal Love numbers of neutron stars,” Astrophys. J. 677
Original