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We develop the General Theory of Relativity in a formalism with extended causality that describes physical interaction through discrete, transversal and localized pointlike fields. The homogeneous field equations are then solved for a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Manoelito M. de Souza , Robson N. Silveira

Starting from the work of the author in 1990 with different collaborators, essential progress in 2d gravity theories has been made. Now all such theories (and not only certain special models) can be treated at the classical as well as at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wolfgang Kummer

We find exactly solvable dilaton gravity theories containing a U(1) gauge field in two dimensional space-time. The classical general solutions for the gravity sector (the metric plus the dilaton field) of the theories coupled to a massless…

High Energy Physics - Theory · Physics 2009-10-30 Youngjai Kiem , Chang-Yeong Lee , Dahl Park

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt

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

A class of integrable models of 1+1 dimensional dilaton gravity coupled to scalar and electromagnetic fields is obtained and explicitly solved. More general models are reduced to 0+1 dimensional Hamiltonian systems, for which two integrable…

High Energy Physics - Theory · Physics 2009-10-30 A. T. Filippov

We study a nonminimal massive scalar field in a 2-dimensional black hole spacetime. We consider the black hole which is the solution of the 2d dilaton gravity derived from string-theoretical models. We found an explicit solution in a closed…

High Energy Physics - Theory · Physics 2009-10-31 V. Frolov , A. Zelnikov

We present a new quantization scheme for $2D$ gravity coupled to an $SU(2)$ principal chiral field and a dilaton; this model represents a slightly simplified version of stationary axisymmetric quantum gravity. The analysis makes use of the…

High Energy Physics - Theory · Physics 2009-10-28 D. Korotkin , H. Nicolai

The Einstein-Hilbert action with a cosmological term is used to derive a new action in 1+1 spacetime dimensions. It is shown that the two-dimensional theory is equivalent to planar symmetry in General Relativity. The two-dimensional theory…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jose' P. S. Lemos

We analyze the semiclassical Schwarzschild geometry in the Boulware quantum state in the framework of two-dimensional (2D) dilaton gravity. The classical model is defined by the spherical reduction of Einstein's gravity sourced with…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Adrián del Río , F. Javier Marañón-González , José Navarro-Salas

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

We study a two-dimensional dilaton gravity model related by a conformal transformation of the metric to the Callan-Giddings-Harvey-Strominger model. We find that most of the features and problems of the latter can be simply understood in…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Mariano Cadoni , Salvatore Mignemi

General two-dimensional pure dilaton-gravity can be discussed in a unitary way by introducing suitable field redefinitions. The new fields are directly related to the original spacetime geometry and in the canonical picture they generalize…

High Energy Physics - Theory · Physics 2007-05-23 Marco Cavaglia

Generalized dilaton gravity in 2d is the most general consistent deformation of the Jackiw-Teitelboim model that maintains local Lorentz invariance. The action is generically not power-counting renormalizable, thus going beyond the class of…

High Energy Physics - Theory · Physics 2022-01-26 Daniel Grumiller , Romain Ruzziconi , Céline Zwikel

Due to its large number of symmetries the Schwarzschild Black Hole can be described by a specific two-dimensional dilaton gravity model. After reviewing classical, semi-classical and quantum properties and a brief discussion of virtual…

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

Applying the quantum field theoretic perturbiner approach to Einstein gravity, we compute the metric of a Schwarzschild black hole order by order in perturbation theory. Using recursion, this calculation can be carried out in de Donder…

High Energy Physics - Theory · Physics 2024-05-31 Poul H. Damgaard , Kanghoon Lee

Two-dimensional dilaton gravity provides a valuable framework to study the dynamics of quantum black holes. These models are often coupled to conformal scalar fields, which capture essential quantum effects such as the trace anomaly, while…

General Relativity and Quantum Cosmology · Physics 2025-10-06 F. J. Marañón-González , A. del Río , J. Navarro-Salas

An exact time-dependent solution of a black hole is found in conformally invariant gravity on a warped Randall-Sundrum spacetime, by writing the metric $g_{\mu\nu}=\omega^{\frac{4}{n-2}}\tilde g_{\mu\nu}$. Here $\tilde g_{\mu\nu}$…

High Energy Physics - Theory · Physics 2021-07-19 Reinoud J. Slagter

A classical two dimensional theory of gravity which has a number of interesting features (including a Newtonian limit, black holes and gravitational collapse) is quantized using conformal field theoretic techniques. The critical dimension…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann