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The generalized second law of thermodynamics with Barrow entropy
- Source :
- European Physical Journal, European Physical Journal C: Particles and Fields, Vol 81, Iss 7, Pp 1-6 (2021)
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- We investigate the validity of the generalized second law of thermodynamics, applying Barrow entropy for the horizon entropy. The former arises from the fact that the black-hole surface may be deformed due to quantum-gravitational effects, quantified by a new exponent $\Delta$. We calculate the entropy time-variation in a universe filled with the matter and dark energy fluids, as well as the corresponding quantity for the apparent horizon. We show that although in the case $\Delta=0$, which corresponds to usual entropy, the sum of the entropy enclosed by the apparent horizon plus the entropy of the horizon itself is always a non-decreasing function of time and thus the generalized second law of thermodynamics is valid, in the case of Barrow entropy this is not true anymore, and the generalized second law of thermodynamics may be violated, depending on the universe evolution. Hence, in order not to have violation, the deformation from standard Bekenstein-Hawking expression should be small as expected.<br />Comment: 6 pages, 2 figures, version published in Eur.Phys.J.C
- Subjects :
- High Energy Physics - Theory
Computer Science::Machine Learning
Surface (mathematics)
Cosmology and Nongalactic Astrophysics (astro-ph.CO)
Physics and Astronomy (miscellaneous)
media_common.quotation_subject
FOS: Physical sciences
Second law of thermodynamics
QC770-798
General Relativity and Quantum Cosmology (gr-qc)
Astrophysics
Computer Science::Digital Libraries
01 natural sciences
General Relativity and Quantum Cosmology
Statistics::Machine Learning
Nuclear and particle physics. Atomic energy. Radioactivity
0103 physical sciences
010303 astronomy & astrophysics
Engineering (miscellaneous)
Entropy (arrow of time)
Mathematical physics
media_common
Physics
010308 nuclear & particles physics
Function (mathematics)
Universe
QB460-466
High Energy Physics - Theory (hep-th)
Apparent horizon
Computer Science::Mathematical Software
Dark energy
Exponent
Astrophysics - Cosmology and Nongalactic Astrophysics
Subjects
Details
- ISSN :
- 14346052 and 14346044
- Volume :
- 81
- Database :
- OpenAIRE
- Journal :
- The European Physical Journal C
- Accession number :
- edsair.doi.dedup.....7bd08a8b6a445429e405abd264df480a