Thermodynamics of Black Holes in Schrödinger Space
نویسنده
چکیده
A black hole and a black hyperboloid solutions in the space with the Schrödinger isometries are presented and their thermodynamics is examined. The on-shell action is obtained by the difference between the extremal and non-extremal ones with the unusual matching of the boundary metrics. This regularization method is first applied to the black brane solution in the space of the Schrödinger symmetry and shown to correctly reproduce the known thermodynamics. The actions of the black solutions all turn out to be the same as the AdS counterparts. The phase diagram of the black hole system is obtained in the parameter space of the temperature and chemical potential and the diagram contains the Hawking-Page phase transition and instability lines.
منابع مشابه
Charged Schrödinger Black Holes
We construct charged and rotating asymptotically Schrödinger black hole solutions of IIB supergravity. We begin by obtaining a closed-form expression for the null Melvin twist of a broad class of type IIB backgrounds, including solutions of minimal five-dimensional gauged supergravity, and identify the resulting five-dimensional effective action. We use these results to demonstrate that the nea...
متن کاملReissner-Nordström Black Hole Thermodynamics in Noncommutative Spaces
This paper considers the effects of space noncommutativity on the thermodynamics of a Reissner-Nordström black hole. In the first step, we extend the ordinary formalism of Bekenstein-Hawking to the case of charged black holes in commutative space. In the second step we investigate the effects of space noncommutativity and the generalized uncertainty principle on the thermodynamics of charged bl...
متن کاملOn the Thermodynamics of Gödel Black Holes
After a brief review of Gödel-type universes in string theory, we discuss some intriguing properties of black holes immersed in such backgrounds. Among these are the upper bound on the entropy that points towards a finite-dimensional Hilbert space of a holographically dual theory, and the minimum black hole temperature that is reminiscent of the Hawking-Page transition. Furthermore, we discuss ...
متن کاملBlack hole dynamics from thermodynamics in anti - de Sitter space
We work on the relation between the local thermodynamic instability and the dynamical instability of large black holes in four-dimensional anti-de Sitter space proposed by Gubser and Mitra. We find that all perturbations suppressing the metric fluctuations at linear order become dynamically unstable when black holes lose the local thermodynamic stability. We discuss how dynamical instabilities ...
متن کاملEntropy of extremal black holes in two dimensions.
Entropy for two dimensional extremal black holes is computed explicitly in a finite-space formulation of the black hole thermodynamics and is shown to be zero locally. Our results are in conformity with the recent one by Hawking et al in four dimensions. It is known that black holes have temperature and entropy and are therefore amenable to a thermodynamic description. For an asymptotic observe...
متن کامل