The generalized second law of thermodynamics states that entropy always
increases when all event horizons are attributed with an entropy proportional
to their area. We test the generalized second law by investigating the change
in entropy when dust, radiation and black holes cross a cosmological event
horizon. We generalize for flat, open and closed Friedmann-Robertson-Walker
universes by using numerical calculations to determine the cosmological horizon
evolution. In most cases the loss of entropy from within the cosmological
horizon is more than balanced by an increase in cosmological event horizon
entropy, maintaining the validity of the generalized second law of
thermodynamics. However, an intriguing set of open universe models show an
apparent entropy decrease when black holes disappear over the cosmological
event horizon. We anticipate that this apparent violation of the generalized
second law will disappear when solutions are available for black holes embedded
in arbitrary backgrounds.
%0 Generic
%1 davis2003black
%A Davis, Tamara M.
%A Davies, P. C. W.
%A Lineweaver, Charles H.
%D 2003
%K cosmology hep-th inflation
%R 10.1088/0264-9381/20/13/322
%T Black hole versus cosmological horizon entropy
%U http://arxiv.org/abs/astro-ph/0305121
%X The generalized second law of thermodynamics states that entropy always
increases when all event horizons are attributed with an entropy proportional
to their area. We test the generalized second law by investigating the change
in entropy when dust, radiation and black holes cross a cosmological event
horizon. We generalize for flat, open and closed Friedmann-Robertson-Walker
universes by using numerical calculations to determine the cosmological horizon
evolution. In most cases the loss of entropy from within the cosmological
horizon is more than balanced by an increase in cosmological event horizon
entropy, maintaining the validity of the generalized second law of
thermodynamics. However, an intriguing set of open universe models show an
apparent entropy decrease when black holes disappear over the cosmological
event horizon. We anticipate that this apparent violation of the generalized
second law will disappear when solutions are available for black holes embedded
in arbitrary backgrounds.
@misc{davis2003black,
abstract = {The generalized second law of thermodynamics states that entropy always
increases when all event horizons are attributed with an entropy proportional
to their area. We test the generalized second law by investigating the change
in entropy when dust, radiation and black holes cross a cosmological event
horizon. We generalize for flat, open and closed Friedmann-Robertson-Walker
universes by using numerical calculations to determine the cosmological horizon
evolution. In most cases the loss of entropy from within the cosmological
horizon is more than balanced by an increase in cosmological event horizon
entropy, maintaining the validity of the generalized second law of
thermodynamics. However, an intriguing set of open universe models show an
apparent entropy decrease when black holes disappear over the cosmological
event horizon. We anticipate that this apparent violation of the generalized
second law will disappear when solutions are available for black holes embedded
in arbitrary backgrounds.},
added-at = {2022-12-31T13:14:54.000+0100},
author = {Davis, Tamara M. and Davies, P. C. W. and Lineweaver, Charles H.},
biburl = {https://www.bibsonomy.org/bibtex/26646c2ce43feb84202ec2dd502ccf2fb/intfxdx},
description = {Black hole versus cosmological horizon entropy},
doi = {10.1088/0264-9381/20/13/322},
interhash = {4714799392f1064dbc67c3c59c4de330},
intrahash = {6646c2ce43feb84202ec2dd502ccf2fb},
keywords = {cosmology hep-th inflation},
note = {cite arxiv:astro-ph/0305121Comment: 14 pages, including 6 figures, to appear in Classical and Quantum Gravity, reference added},
timestamp = {2022-12-31T13:14:54.000+0100},
title = {Black hole versus cosmological horizon entropy},
url = {http://arxiv.org/abs/astro-ph/0305121},
year = 2003
}