Thermodynamics of black branes in asymptotically Lifshitz spacetimes - INSPIRE

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Thermodynamics of black branes in asymptotically Lifshitz spacetimes

Gaetano Bertoldi
(
- Toronto U.
)
,
Benjamin A. Burrington
(
- Toronto U.
)
,
Amanda W. Peet
(
- Toronto U.
)

Jul, 2009

11 pages

Published in:

Phys.Rev.D 80 (2009) 126004

e-Print:

0907.4755 [hep-th]

DOI:

10.1103/PhysRevD.80.126004

View in:

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Abstract: (arXiv)

Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent

z\geq 1

. We continue our earlier work \cite{Bertoldi:2009vn}, exploring the thermodynamic properties of the 'black brane' solutions with horizon topology

\mathbb{R}^2

. We find that the black branes satisfy the relation

\mathcal{E}=\frac{2}{2+z}Ts

where

\mathcal{E}

is the energy density,

T

is the temperature, and

s

is the entropy density. This matches the expected behavior for a 2+1 dimensional theory with a scaling symmetry

(x_1,x_2)\to \lambda (x_1,x_2)

,

t\to \lambda^z t

.

Note:

8 pages

11.25.Tq
black brane
dimension: 4
dimension: 3
gravitation: background
horizon: topology
entropy: density
energy: density
critical phenomena
thermodynamics

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