Back Reaction of Gravitational Radiation on the Schwarzschild Black Hole

Abstract

We address some of the issues that appear in the study of back reaction in Schwarzschild backgrounds. Our main object is the effective energy-momentum tensor (EEMT) of gravitational perturbations. It is commonly held that only asymptotically flat or radiation gauges can be employed for these purposes. We show that the traditional Regge-Wheeler gauge for the perturbations of the Schwarszchild metric can also be used for computing physical quantities both at the horizon and at infinity. In particular, we find that the physically relevant components of the EEMT of gravitational perturbations have the same asymptotic behaviour as the stress-energy tensor of a scalar field in the Schwarzschild background, even though some of the metric components themselves diverge.

13 pages, LaTex; one reference updated; submitted to Class. Q. Grav

References in corpus (4)

• Second order gauge invariant gravitational perturbations of a Kerr black hole
• The collision of boosted black holes: second order close limit calculations
• Energy density and pressure of long wavelength gravitational waves
• Mass correction and gravitational energy radiation in black hole perturbation theory

Cited by in corpus (3)

• Energy-Momentum Tensor of Cosmological Fluctuations during Inflation
• Back-reaction of Cosmological Fluctuations during Power-Law Inflation
• The dominating mode of two competing massive modes of quadratic gravity