Hayato Motohashi

Title: Black hole perturbation in modified gravity theories

Black hole perturbation deals with the small perturbation around the black hole solution. It is interesting and important to consider black hole perturbations as following reasons: First, the presence of perturbations can break the static properties of a black hole spacetime and be therefore at the origin of gravitational wave emission. Second, the gravitational waves emitted by a black hole carry information about its properties such as mass, spin and charge. Third, by investigating the response of black holes to perturbations it is possible to deduce important conclusions on the stability of these objects or the modified gravity theory.
In this talk, we consider the linear perturbation theory around the static and spherically symmetric spacetime in general modified gravity theories. Since static and spherically symmetric spacetime is fundamental to form gravitationally bounded system, it should be stable in viable modified gravity theory. Therefore, we can test the viability of modified gravity theory by the stability analysis of black hole. 

|Luciano Rezzolla |"Gravitational waves from perturbed black holes and relativistic stars" |arXiv:gr-qc/0302025|
|Hayato Motohashi, Teruaki Suyama |"Black hole perturbation in parity violating gravitational theories" |Phys.Rev. D84 (2011) 084041 [arXiv:1107.3705]|
|Hayato Motohashi, Teruaki Suyama |"Black hole perturbation in non-dynamical and dynamical Chern-Simons gravity" |arXiv:1110.6241|

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