Physics
Scientific paper
Nov 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..50.6427a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 50, Issue 10, 15 November 1994, pp.6427-6434
Physics
31
Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Quantum Field Theory In Curved Spacetime, Black Holes
Scientific paper
Analytic semiclassical corrections to the Schwarzschild metric are found perturbatively, to first order in ɛ=ħ/M2, for a quantized scalar field with an arbitrary curvature coupling. The approximation scheme developed by Anderson, Hiscock, and Samuel is used to provide approximate algebraic expressions for the components of the vacuum stress-energy tensor. The linearized Einstein equations are solved to find the metric perturbations caused by the quantized field. Microcanonical boundary conditions are imposed on a spherical wall enclosing the black hole. The various physical effects of the back reaction, and their dependence on the value of the curvature coupling, are discussed in detail. The perturbations are found most often to lower the temperature of the black hole. Requiring that the entropy of the system be increased by the quantized field results in upper and lower bounds on the value of the curvature coupling constant, -3.431<=ξ<=7/10.
Anderson Paul R.
Hiscock William A.
Whitesell Janet
York James W. Jr.
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