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We study Einstein gravity coupled to a massless scalar field in a static spherically symmetric space-time in four dimensions. Black hole solutions exist when the kinetic energy of the scalar field is negative, that is, for a phantom field.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

We study the possible existence of black holes in scalar-tensor theories of gravity in four dimensions. Their existence is verified for anomalous versions of these theories, with a negative kinetic term in the Lagrangian. The Hawking…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , C. P. Constantinidis , R. L. Evangelista , J. C. Fabris

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. C. Fabris , G. T. Marques

The thermal view of scalar-tensor gravity is an analogy with a dissipative fluid. The scalar degree of freedom excites gravity to a positive ``temperature'', while Einstein gravity is the ``zero-temperature'' equilibrium state. We extend…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Valerio Faraoni

Constraints on the geometry of a static spherically symmetric black hole are obtained by requiring the spacetime curvature to be analytic at the event horizon. For a zero temperature black hole further constraints are obtained by also…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul R. Anderson , Courtney D. Mull

We use the global embedding of a black hole spacetime into a higher dimensional flat spacetime to define a local temperature for observers in free fall outside a static black hole. The local free-fall temperature remains finite at the event…

High Energy Physics - Theory · Physics 2009-11-18 Erling J. Brynjolfsson , Larus Thorlacius

It has been widely believed that the Hawking temperature for a black hole is $uniquely$ determined by its metric and $positive$. But, I find that this does ``not'' seem to be true in the recently discovered black holes which include the…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park

We calculate the thermal renormalized energy-momentum tensor components of a massless scalar field, leading to trace anomaly, on a $(1+1)$ dimensional static black hole spacetime. Using these, the energy density and flux, seen by both…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Saurav Samanta , Bibhas Ranjan Majhi

The extreme Reissner-Nordstr\"om black holes have zero surface gravity. However, a semi-classical analysis seems to be ill-definite for these objects and apparently no notion of temperature exists for them. It is argued here that these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. G. Alvarenga , A. B. Batista , J. C. Fabris , G. T. Marques

The model is constructed, some features of which comes from quantum thin dust shells and is, in fact, an extension of the "no hair" property of classical black hole on a quantum level. It appears that the proposed classical analog of…

General Relativity and Quantum Cosmology · Physics 2010-02-16 Victor Berezin

New four-dimensional black hole solutions of Brans-Dicke equations with a negative constant $\omega$, coupled to a massless scalar field, are presented. The temperature of these black holes is zero and the horizon area is infinite. An…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stoytcho S. Yazadjiev

We investigate the thermodynamics and stability of the horizons in warped anti-de Sitter black holes of the new massive gravity under the scattering of a massive scalar field. Under scattering, conserved quantities can be transferred from…

General Relativity and Quantum Cosmology · Physics 2021-05-13 Bogeun Gwak

The present equilibrium formulation of thermodynamics for black holes has several drawbacks, such as assuming the same temperature for black hole and heat bath. Recently the author formulated non-equilibrium thermodynamics for glassy…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

We provide two novel ways to compute the surface gravity ($\kappa$) and the Hawking temperature $(T_{H})$ of a stationary black hole: in the first method $T_{H}$ is given as the three-volume integral of the Gauss-Bonnet invariant (or the…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Emel Altas , Bayram Tekin

Area spectrum of black holes have been obtained via various methods such as quasinormal modes, adiabatic invariance and angular momentum. Among those methods, calculations were done by assuming black holes in thermal equilibrium.…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Wen-Yu Wen

An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin,…

High Energy Physics - Theory · Physics 2009-11-10 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We consider the restoration of a spontaneously broken symmetry of an interacting quantum scalar field around neutral, i.e., Schwarzschild, and electrically charged, i.e., Reissner-Nordstr\"om, black holes in four dimensions. This is done…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos

Hawking temperature is computed for a large class of black holes (with spherical, toroidal and hyperboloidal topologies) using only laws of classical physics plus the "classical" Heisenberg Uncertainty Principle. This principle is shown to…

General Relativity and Quantum Cosmology · Physics 2020-04-17 Fabio Scardigli

The rotating linear dilatonic black hole is an asymptotically non-flat solution to Einstein-Maxwell-Dilaton-Axion gravity theory due to the existence of non-trivial matter fields. We have analytically studied the wave equation of scalar…

High Energy Physics - Theory · Physics 2013-04-29 Ran Li

We discuss the Hawking temperature of near-equilibrium black holes using a semiclassical analysis. We introduce a useful expansion method for slowly evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle point…

High Energy Physics - Theory · Physics 2012-01-31 Shunichiro Kinoshita , Norihiro Tanahashi
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