Geometrothermodynamics for black holes and de Sitter space
نویسندگان
چکیده
منابع مشابه
Geometrothermodynamics of asymptotically de Sitter black holes
We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric...
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We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric...
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In these introductory notes we define constant curvature spacetimes and discuss their symmetries, basic properties and the construction of their spacetime diagram. We then discuss the important properties of anti de Sitter spacetime giving global and local parametrisations. We study the static black holes and then discuss their basic properties and novel topological effects due to the presence ...
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A class of black hole solutions to Einstein’s equations in d dimensions with a negative cosmological constant is constructed. These solutions have the property that the horizon is a (d− 2)-dimensional manifold of constant curvature, but this curvature may be positive, zero, or negative. Asymptotically, the solutions are locally isometric to anti-de Sitter space. The mass, temperature, and entro...
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A curious dichotomy in the physics of black holes is that they typically are thermodynamically unstable, in that they have negative specific heat; but in a classical treatment, they are stable against small perturbations of the metric (see for example [1, 2] for discussions of Schwarzschild and Kerr black holes in asymptotically flat space). In the past several years, following [3], there has b...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2018
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-018-2341-0