Black hole thermodynamics from a variational principle: asymptotically conical backgrounds

Song-ok An (Avtor), Mirjam Cvetič (Avtor), Ioannis Papadimitriou (Avtor)

Povzetek

The variational problem of gravity theories is directly related to black hole thermodynamics. For asymptotically locally AdS backgrounds it is known that holographic renormalization results in a variational principle in terms of equivalence classes of boundary data under the local asymptotic symmetries of the theory, which automatically leads to finite conserved charges satisfying the first law of thermodynamics. We show that this connection holds well beyond asymptotically AdS black holes. In particular, we formulate the variational problem for N = 2 STU supergravity in four dimensions with boundary conditions corresponding to those obeyed by the so called 'subtracted geometries'. We show that such boundary conditions can be imposed covariantly in terms of a set of asymptotic second class constraints, and we derive the appropriate boundary terms that render the variational problem well posed in two different duality frames of the STU model. This allows us to define finite conserved charges associated with any asymptotic Killing vector and to demonstrate that these charges satisfy the Smarr formula and the first law of thermodynamics. Moreover, by uplifting the theory to five dimensions and then reducing on a 2-sphere, we provide a precise map between the thermodynamic observables of the subtracted geometries and those of the BTZ black hole. Surface terms play a crucial role in this identification.

Ključne besede

M-Theory;Black Holes;String Theory;Gauge-gravity correspondence;

Podatki

Jezik:	Angleški jezik
Leto izida:	2016
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM - Univerza v Mariboru
UDK:	530.122.3
COBISS:	90840833
ISSN:	1029-8479
Št. ogledov:	2062
Št. prenosov:	340
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	M-teorija;črne luknje;teorija superstrun;gravitacija;umeritvena teorija;
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Znanstveno delo
Strani:	str. 1-39
Letnik:	ǂIssue ǂ3
Zvezek:	ǂart. ǂ086
Čas izdaje:	mar. 2016
DOI:	10.1007/JHEP03(2016)086
ID:	10844755