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Quantum corrected Friedmann equations from loop quantum black holes entropy-area relation | | C. A. S. Silva
; | | Date: |
26 Feb 2015 | | Abstract: | The Friedmann equations govern the evolution of space in homogeneous and
isotropic models of the universe within the context of general relativity. Such
equations can be derived by using Clausius relation to the apparent horizon of
Friedmann-Robertson-Walker (FRW) universe, in which entropy is assumed to be
proportional to its horizon area cite{Cai:2005ra}. Such demonstration follows
the spirit of the results obtained by Jacobson that assuming the
proportionality between entropy and horizon area, demonstrated that the
spacetime can be viewed as a gas of atoms with a related entropy given by the
Bekenstein-Hawking formula and the Einstein equation is a equation of state of
this gas cite{Jacobson:1995ab}. Loop Quantum Gravity is a theory that propose
a way to model the atomic behavior of spacetime. One recent prediction of this
theory is the existence of sub-Planckian black holes called self-dual black
holes. Among the interesting features of loop quantum black holes is the fact
that they give rise to a modified entropy-area relation where quantum gravity
corrections are present. In this work, we obtain the quantum corrected
Friedmann equations from the entropy-area relation given by self-dual black
holes. | | Source: | arXiv, 1503.0559 | | Services: | Forum | Review | PDF | Favorites | |
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