TY - JOUR

T1 - Stability and quasinormal modes of black holes in tensor-vector-scalar theory

T2 - Scalar field perturbations

AU - Lasky, Paul D.

AU - Doneva, Daniela D.

PY - 2010

Y1 - 2010

N2 - The imminent detection of gravitational waves will trigger precision tests of gravity through observations of quasinormal ringing of black holes. While general relativity predicts just two polarizations of gravitational waves, the so-called plus and cross polarizations, numerous alternative theories of gravity predict up to six different polarizations which will potentially be observed in current and future generations of gravitational wave detectors. Bekenstein's Tensor-Vector-Scalar (TeVeS) theory and its generalization fall into one such class of theory that predict the full gamut of six polarizations of gravitational waves. In this paper we begin the study of quasinormal modes (QNMs) in TeVeS by studying perturbations of the scalar field in a spherically symmetric background. We show that, at least in the case where superluminal propagation of perturbations is not present, black holes are generically stable to this kind of perturbation. We also make a unique prediction that, as the limit of the various coupling parameters of the theory tend to zero, the QNM spectrum tends to 1/√2 times the QNM spectrum induced by scalar perturbations of a Schwarzschild black hole in general relativity due to the intrinsic presence of the background vector field. We further show that the QNM spectrum does not vary significantly from this value for small values of the theory's coupling parameters, however can vary by as much as a few percent for larger, but still physically relevant parameters.

AB - The imminent detection of gravitational waves will trigger precision tests of gravity through observations of quasinormal ringing of black holes. While general relativity predicts just two polarizations of gravitational waves, the so-called plus and cross polarizations, numerous alternative theories of gravity predict up to six different polarizations which will potentially be observed in current and future generations of gravitational wave detectors. Bekenstein's Tensor-Vector-Scalar (TeVeS) theory and its generalization fall into one such class of theory that predict the full gamut of six polarizations of gravitational waves. In this paper we begin the study of quasinormal modes (QNMs) in TeVeS by studying perturbations of the scalar field in a spherically symmetric background. We show that, at least in the case where superluminal propagation of perturbations is not present, black holes are generically stable to this kind of perturbation. We also make a unique prediction that, as the limit of the various coupling parameters of the theory tend to zero, the QNM spectrum tends to 1/√2 times the QNM spectrum induced by scalar perturbations of a Schwarzschild black hole in general relativity due to the intrinsic presence of the background vector field. We further show that the QNM spectrum does not vary significantly from this value for small values of the theory's coupling parameters, however can vary by as much as a few percent for larger, but still physically relevant parameters.

UR - http://www.scopus.com/inward/record.url?scp=78651272982&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.124068

DO - 10.1103/PhysRevD.82.124068

M3 - Article

AN - SCOPUS:78651272982

VL - 82

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 124068

ER -