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Equipped with the tools of (spherically reduced) dilaton gravity in first order formulation and with the results for the lowest order S-matrix for s-wave gravitational scattering (P. Fischer, D. Grumiller, W. Kummer, and D. Vassilevich,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniel Grumiller

In the present paper, we revisit gravitational theories which are invariant under TDiffs -- transverse (volume preserving) diffeomorphisms and global scale transformations. It is known that these theories can be rewritten in an equivalent…

High Energy Physics - Theory · Physics 2016-05-02 Georgios K. Karananas , Mikhail Shaposhnikov

Classical general relativity predicts a singularity at the center of a black hole, where known laws of physics break down. This suggests the existence of deeper, yet unknown principles of Nature. Among various theoretical possibilities, one…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Nihar Ranjan Ghosh , Malay K. Nandy

We discuss the relationship between two-dimensional (2D) dilaton gravity models and sine-Gordon-like field theories. We show that there is a one-to-one correspondence between the solutions of 2D dilaton gravity and the solutions of a (two…

High Energy Physics - Theory · Physics 2009-10-31 M. Cadoni

In $D$-dimensional dilaton gravitational model stationary Schwarzschild type solutions (centrally symmetrical solutions in vacuum) are obtained. They contain the two-parameter set of solutions: the first parameter is proportional to a…

High Energy Physics - Theory · Physics 2007-05-23 E. G. Vorontsova , G. S. Sharov

General Relativity is usually formulated as a theory with gauge invariance under the diffeomorphism group, but there is a 'dilaton' formulation where it is in addition invariant under Weyl transformations, and a 'unimodular' formulation…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Steffen Gielen , Rodrigo de Leon Ardon , Roberto Percacci

We study the evaporation process of a 2D black hole in thermal equilibrium when the ingoing radiation is switched off suddenly. We also introduce global symmetries of generic 2D dilaton gravity models which generalize the extra symmetry of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Cruz , J. Navarro-Salas , M. Navarro , C. F. Talavera

Among various strong-curvature extensions to General Relativity, Einstein-Dilaton-Gauss-Bonnet gravity stands out as the only nontrivial theory containing quadratic curvature corrections while being free from the Ostrogradsky instability to…

General Relativity and Quantum Cosmology · Physics 2018-03-05 Andrea Maselli , Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

A class of exact regular spherically symmetric solutions to the Einstein equation obeying Dymnikova's definition of the vacuumlike state is considered. These solutions, which may be interpreted as black holes, are not only singularity free,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erast B. Gliner

We discuss in detail the semiclassical approximation for the CGHS model of two-dimensional dilatonic black holes. This is achieved by a formal expansion of the full Wheeler-DeWitt equation and the momentum constraint in powers of the…

High Energy Physics - Theory · Physics 2016-09-06 J. -G. Demers , C. Kiefer

We study an internal structure of (2+1)-dimensional black hole with the neutral scalar matter in the spherically symmetric geometry by using a quantum theory of gravity which holds in the both vicinities of the singularity and the apparent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

We have examined a modified dilaton gravity whose action is separable into the kinetic and the cosmological terms for the sake of the quantization. The black hole solutions survive even in the quantized theory, but the ADM mass of the…

High Energy Physics - Theory · Physics 2016-09-06 Kazuo Ghoroku

We study the Hawking radiation in two dimensional dilaton black hole by means of quantum gravity holding near the apparent horizon. First of all, we construct the canonical formalism of the dilaton gravity in two dimensions. Then the Vaidya…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ichiro Oda

The two-dimensional CGHS model provides an interesting toy-model for the study of black hole evaporation. For this model, a quantum effective action, which incorporates Hawking radiation and backreaction, can be explicitly constructed. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Michaud , R. C. Myers

The 2D gravity described by the action which is an arbitrary function of the scalar curvature $f(R)$ is considered. The classical vacuum solutions are analyzed. The one-loop renormalizability is studied. For the function $f=R \ln R$ the…

High Energy Physics - Theory · Physics 2009-10-28 S. N. Solodukhin

Theoretically, it has been proposed that objects traveling radially along regular black holes (RBHs) would not be destroyed because of finite tidal forces and the absence of a singularity. However, the matter source allows the creation of…

General Relativity and Quantum Cosmology · Physics 2024-06-24 Milko Estrada , G. Alencar , Tiago M. Crispim , C. R. Muniz

Within the first order formalism static solutions of generic dilaton gravity in 2D with self-interacting (scalar) matter can be discussed with ease. The question of (non)existence of Killing horizons is addressed and the interplay with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Grumiller , D. Mayerhofer

We present a new class of quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$-operator. We analyze the model by ${1 \over k}$ expansion ($k$ is the level of…

High Energy Physics - Theory · Physics 2007-05-23 Shin'ichi Nojiri , Ichiro Oda

Recently, Chandrasekaran, Penington and Witten (CPW) have shown that the generalized entropy of the Schwarzschild black hole at the bifurcation surface equals the entropy of an extended von Neumann algebra of quantum observables in the…

High Energy Physics - Theory · Physics 2023-09-26 Mohd Ali , Vardarajan Suneeta

We use the Noether symmetry approach to find $f(R)$ theory of $(2+1)$ dimensional gravity and $(2+1)$ dimensional black hole solution consistent with this $f(R)$ gravity and the associated symmetry. We obtain $f({R})=D_1…

General Relativity and Quantum Cosmology · Physics 2015-06-15 F. Darabi , K. Atazadeh , A. Rezaei-Aghdam