NHEG Mechanics: Laws of Near Horizon Extremal Geometry (Thermo)Dynamics - INSPIRE

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NHEG Mechanics: Laws of Near Horizon Extremal Geometry (Thermo)Dynamics

K. Hajian
(
- IPM, Tehran and
- Sharif U. of Tech.
)
,
A. Seraj
(
- IPM, Tehran
)
,
M.M. Sheikh-Jabbari
(
- IPM, Tehran
)

Oct 14, 2013

32 pages

Published in:

JHEP 03 (2014) 014

Published: 2014

e-Print:

1310.3727 [hep-th]

DOI:

10.1007/JHEP03(2014)014

Report number:

IPM-P-2013-033

View in:

ADS Abstract Service

reference search35 citations

Citations per year

Abstract: (arXiv)

Near Horizon Extremal Geometries (NHEG) are solutions to gravity theories with

SL(2,R) \times U(1)^N

(for some N) symmetry, are smooth geometries and have no event horizon, unlike black holes. Following the ideas by R. M. Wald, we derive laws of NHEG dynamics, the analogs of laws of black hole dynamics for the NHEG. Despite the absence of horizon in the NHEG, one may associate an entropy to the NHEG, as a Noether-Wald conserved charge. We work out entropy and entropy perturbation laws, which are respectively universal relations between conserved Noether charges corresponding to the NHEG and a system probing the NHEG. Our entropy law is closely related to Sen's entropy function. We also discuss whether the laws of NHEG dynamics can be obtained from the laws of black hole thermodynamics in the extremal limit.

Note:

33 pages, No figures, To appear in JHEP

Black Holes
Space-Time Symmetries
Classical Theories of Gravity
Gauge Symmetry
entropy: perturbation
black hole: thermodynamics
charge: conservation law
conservation law: Noether
charge: Noether
horizon

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Figures(0)

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