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General theory of large D membranes consistent with second law of thermodynamics
- Source :
- Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-42 (2021), Journal of High Energy Physics
- Publication Year :
- 2021
- Publisher :
- SpringerOpen, 2021.
-
Abstract
- We write down the most general membrane equations dual to black holes for a general class of gravity theories, up to sub-leading order in $1/D$ in large $D$ limit. We derive a "minimal" entropy current which satisfies a local form of second law from these membrane equations. We find that consistency with second law requires the membrane equations to satisfy certain constraints. We find additional constraints on the membrane equations from the existence of membrane solutions dual to stationary black holes. Finally we observe a tension between second law and matching with Wald entropy for dual stationary black hole configurations, for the minimal entropy current. We propose a simple modification of the membrane entropy current so that it satisfies second law and also the stationary membrane entropy matches the Wald entropy.<br />Comment: 36+10 pages, Section on matching membrane entropy to Wald entropy changed to include discussions on modified entropy current. Corresponding changes included in abstract and other relevant places in the paper
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
Class (set theory)
Current (mathematics)
Black Holes
media_common.quotation_subject
FOS: Physical sciences
Second law of thermodynamics
General Relativity and Quantum Cosmology (gr-qc)
QC770-798
01 natural sciences
General Relativity and Quantum Cosmology
Quantitative Biology::Subcellular Processes
Simple (abstract algebra)
Consistency (statistics)
Nuclear and particle physics. Atomic energy. Radioactivity
0103 physical sciences
Limit (mathematics)
010306 general physics
Entropy (arrow of time)
media_common
Physics
010308 nuclear & particles physics
Mathematical analysis
Black hole
High Energy Physics - Theory (hep-th)
Classical Theories of Gravity
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2021
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....de1d9a568e3018f2002f1e5207e094a9