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We consider Callan, Giddings, Harvey and Strominger's (CGHS) two dimensional dilatonic gravity with electromagnetic interactions. This model can be also solved classically. Among the solutions describing static black holes, there exist…

High Energy Physics - Theory · Physics 2009-10-22 Shin'ichi Nojiri , Ichiro Oda

We consider further on the problem of the analogue Hawking radiation. We propose a fourth order ordinary differential equation, which allows to discuss the problem of Hawking radiation in analogue gravity in a unified way, encompassing…

General Relativity and Quantum Cosmology · Physics 2020-11-25 F. Belgiorno , S. L. Cacciatori , A. Viganò

We present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curvature is constructed, and explicit linearly independent…

General Relativity and Quantum Cosmology · Physics 2017-05-25 Jennie D'Ambroise , Floyd L. Williams

In this work the quantum theory of two dimensional dilaton black holes is studied using the Wheeler De Witt equation. The solutions correspond to wave functions of the black hole. It is found that for an observer inside the horizon, there…

High Energy Physics - Theory · Physics 2009-10-22 Ulf H. Danielsson

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

The Schwarzschild-de Sitter (SdS) metric is the simplest spacetime solution in general relativity with both a black hole event horizon and a cosmological event horizon. Since the Schwarzschild metric is the most simple solution of…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Diego Fernández-Silvestre , Joshua Foo , Michael R. R. Good

The ultrarelativistic limit of twodimensional dilaton gravity is presented and its associated (anti-)selfdual energy momentum tensor is derived. It is localized on a null line, although the line element remains twice differentiable.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. Balasin , D. Grumiller

We analyze a supergravity theory coupled to a dilaton and superconformal matters in two dimensions. This theory is classically soluble and we find all the solutions appeared in Callan, Giddings, Harvey and Strominger's dilatonic gravity…

High Energy Physics - Theory · Physics 2009-10-22 Shin'ichi Nojiri , Ichiro Oda

We discuss some problems related to dimensional reductions of gravity theories to two-dimensional and one-dimensional dilaton gravity models. We first consider the most general cylindrical reductions of the four-dimensional gravity and…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Filippov

Recently, Hawking radiation from a Schwarzschild-type black hole via gravitational anomaly at the horizon has been derived by Robinson and Wilczek. Their result shows that, in order to demand general coordinate covariance at the quantum…

High Energy Physics - Theory · Physics 2014-11-18 Qing-Quan Jiang , Shuang-Qing Wu , Xu Cai

Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the boundary terms to obtain the correct…

High Energy Physics - Theory · Physics 2007-11-26 Luzi Bergamin , Rene Meyer

We study two-dimensional dilaton gravity coupled to massless scalar fields for static solutions. In addition to the well known black hole, we find another class of solutions that may be understood as that of the black hole in equilibrium…

High Energy Physics - Theory · Physics 2009-10-22 Michael Crescimanno

A quantum vacuum, represented by a viscous fluid, is added to the Einstein vacuum, surrounding a spherical distribution of mass. This gives as a solution, in spherical coordinates, a Schwarzschild-like metric. The plot of g00 and g11…

General Physics · Physics 2013-02-07 P. R. Silva

In this paper, we study the linearized gravity theory in the near horizon region of the Schwarzschild black hole in four dimensional spacetime. Under the Newman-Unti gauge, we derive the most general near horizon symmetry and solution space…

High Energy Physics - Theory · Physics 2024-03-21 Pujian Mao , Kai-Yu Zhang , Bochen Zhou

The interior of a static Schwarzschild metric can be written in terms of two functions, similar to some models of anisotropic cosmology. With a suitable choice of canonical variables, we solve the Wheeler-DeWitt equation (WDW) inside the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

The Hawking temperature of a Schwarzschild black hole can be heuristically derived by identifying the temperature with the inverse radius of the horizon up to a multiplicative constant. This does not work for more general black holes such…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Michael R. R. Good , Yen Chin Ong

Two-dimensional matterless dilaton gravity is a topological theory and can be classically reduced to a (0+1)-dimensional theory with a finite number of degrees of freedom. If quantization is performed, a simple gauge invariant quantum…

High Energy Physics - Theory · Physics 2007-05-23 Marco Cavaglia , Vittorio de Alfaro

We investigate the quantum theory of 1+1 dimensional dilaton gravity, which is an interesting toy model of the black hole dynamics. The functional measures of gravity part are explicitly evaluated and derive the Wheeler-DeWitt like…

High Energy Physics - Theory · Physics 2007-05-23 K. Hamada

A static Einstein metric that generalizes the Schwarzschild metric is considered. The event horizon is not necessarily a sphere and the term $dt\sp2$ is a function on such horizon. That the metric is Einstein establishes a relation between…

General Relativity and Quantum Cosmology · Physics 2007-05-23 José L. Martínez-Morales

As is well-known, the Schwarzschild metric cannot be derived based on pre-general-relativistic physics alone, which means using only special relativity, the Einstein equivalence principle and the Newtonian limit. The standard way to derive…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Klaus Kassner