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arXiv · 2001.00403

Tidal Love Numbers of Braneworld Black Holes and Wormholes

H. S. Tan
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Abstract

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.

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H. S. Tan. 2020-09-01. Tidal Love Numbers of Braneworld Black Holes and Wormholes. https://doi.org/10.1103/physrevd.102.044061

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