Time Evolution of Temperature and Entropy of a Gravitationally Collapsing Cylinder

Details Time Evolution of Temperature and Entropy of a Gravitationally Collapsing Cylinder Time Evolution of Temperature and Entropy of a Gravitationally Collapsing Cylinder

2011-06-12

arxiv.org/abs/1106.2278v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We investigate the time evolution of the temperature and entropy of a gravitationally collapsing cylinder, represented by an infinitely thin domain wall, as seen by an asymptotic observer. Previous work has shown that the entropy of a spherically symmetric collapsing domain approaches a constant, and we follow this procedure using a (3+1) BTZ metric to see if a different topology will yield different results. We do this by coupling a scalar field to the background of the domain wall and analyzing the spectrum of radiation as a function of time. We find that the spectrum is quasi-thermal, with the degree of thermality increasing as the domain wall approaches the horizon. The thermal distribution allows for the determination of the temperature as a function of time, and we find that the late time temperature is very close to the Hawking temperature and that it also exhibits the proper scaling with the mass. From the temperature we find the entropy. Since the collapsing domain wall is what forms a black hole, we can compare the results to those of the standard entropy-area relation. We find that the entropy does in fact approach a constant that is close to the Hawking entropy. However, the time dependence of the entropy shows that the entropy decreases with time, indicating that a (3+1) BTZ domain wall will not collapse spontaneously.

Affiliated with

Also associated with

No associations

Rating

Time Evolution of Temperature and Entropy of a Gravitationally Collapsing Cylinder 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 Time Evolution of Temperature and Entropy of a Gravitationally Collapsing Cylinder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time Evolution of Temperature and Entropy of a Gravitationally Collapsing Cylinder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712207