Stability of the Schwarzschild black hole in Brans-Dicke theory

Details Stability of the Schwarzschild black hole in Brans-Dicke theory Stability of the Schwarzschild black hole in Brans-Dicke theory

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34..333k&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 2, 15 July 1986, pp.333-342

Physics

20

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Black Holes

Scientific paper

The stability of the Schwarzschild metric against small perturbations is discussed in Brans-Dicke theory. The perturbations superposed on the Schwarzschild background state are composed of odd, even parities of gravitational perturbations, and scalar perturbations. By the familiar procedure of analyzing the black-hole stability, we have found that all nonstatic perturbations allow only the real values of frequency k, which means that this system is classically stable. However, for k=0, an odd perturbation with L>1 and even and pure scalar perturbations with all L>=0 are classically unstable because all of these cases allow the exponentially growing modes.

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