Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit

Details Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit

1998-12-10

arxiv.org/abs/gr-qc/9812034v1

Int.J.Theor.Phys.38:1253-1271,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the proceedings of the Conference on Quantum Gravity in the Southern Cone

Scientific paper

10.1023/A:1026670816596

We study the back reaction of a thermal field in a weak gravitational background depicting the far-field limit of a black hole enclosed in a box by the Close Time Path (CTP) effective action and the influence functional method. We derive the noise and dissipation kernels of this system in terms of quantities in quasi-equilibrium, and formally prove the existence of a Fluctuation-Dissipation Relation (FDR) at all temperatures between the quantum fluctuations of the thermal radiance and the dissipation of the gravitational field. This dynamical self-consistent interplay between the quantum field and the classical spacetime is, we believe, the correct way to treat back-reaction problems. To emphasize this point we derive an Einstein-Langevin equation which describes the non-equilibrium dynamics of the gravitational perturbations under the influence of the thermal field. We show the connection between our method and the linear response theory (LRT), and indicate how the functional method can provide more accurate results than prior derivations of FDRs via LRT in the test-field, static conditions. This method is in principle useful for treating fully non-equilibrium cases such as back reaction in black hole collapse.

Affiliated with

Also associated with

No associations

Rating

Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-158002