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Solutions to a scalar-tensor (dilaton) quantum gravity theory, interacting with quantized matter, are described. Dirac quantization is frustrated by quantal anomalies in the constraint algebra. Progress is made only after the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Roman Jackiw

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Alves , V. B. Bezerra

We show that $N=8$ {\it self-dual} supergravity theory, which is the consistent background for $N=2$ closed superstring theory in $2+2\-$dimensions, can accommodate the recently discovered two-dimensional dilaton gravity black hole…

High Energy Physics - Theory · Physics 2009-10-22 Hitoshi Nishino

We consider the D-dimensional massive dilaton gravity coupled to Maxwell and antisymmetric tensor fields (EMATD). We derive the full separability of this theory in static case. This discloses the core structure of the theory and yields the…

High Energy Physics - Theory · Physics 2009-11-07 Konstantin G. Zloshchastiev

We study a bosonic four--dimensional effective action corresponding to the heterotic string compactified on a 6--torus (dilaton--axion gravity with one vector field) on a curved space--time manifold possessing a time--like Killing vector…

High Energy Physics - Theory · Physics 2009-10-28 D. V. Gal'tsov , O. V. Kechkin

A higher order theory of dilaton gravity is constructed as a generalization of the Einstein-Lovelock theory of pure gravity. Its Lagrangian contains terms with higher powers of the Riemann tensor and of the first two derivatives of the…

High Energy Physics - Theory · Physics 2008-11-26 D. Konikowska , M. Olechowski

A model of matter-coupled gravity in two dimensions is quantized. The crucial requirement for performing the quantization is the vanishing of the conformal anomaly, which is achieved by tuning a parameter in the interaction potential. The…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi

Two-dimensional matterless dilaton gravity with arbitrary dilatonic potential can be discussed in a unitary way, both in the Lagrangian and canonical frameworks, by introducing suitable field redefinitions. The new fields are directly…

High Energy Physics - Theory · Physics 2008-11-26 Marco Cavaglia

A two-dimensional (2D) dilaton gravity model, whose static solutions have the same features of the Reissner-Nordstrom solutions, is obtained from the dimensional reduction of a four-dimensional (4D) string effective action invariant under…

General Relativity and Quantum Cosmology · Physics 2009-10-28 S. Monni , M. Cadoni

In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilaton. Using methods developed in the context of flat space…

High Energy Physics - Theory · Physics 2007-05-23 H. Nicolai , D. Korotkin , H. Samtleben

Alternatives to Einstein's theory of general relativity can be distinguished by measuring the parametrised post Newtonian parameters. Two such parameters $\beta$ and $\gamma$, equal to one in Einstein theory, can be obtained from static…

High Energy Physics - Theory · Physics 2008-02-03 S. Kalyana Rama

The quantum properties of two-dimensional matter-dilaton gravity ---which includes a large family of actions for two-dimensional gravity (in particular, string-inspired models)--- are investigated. The one-loop divergences in linear…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

Self-gravitating kink solutions of a two-dimensional dilaton gravity are revisited in this work. Analytical kink solutions are derived from a concise superpotential formalism of the dynamical equations. A general analysis on the linear…

High Energy Physics - Theory · Physics 2021-04-14 Yuan Zhong

We extend the problem of $(1+1)$ circular dilaton gravity to include charged particles. We examine the two (charged) particle case in detail and find an exact equilibrium solution. We then extend this to $N-$particles and obtain a solution…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ryan Kerner , Robert B. Mann

We study the one loop renormalization in the most general metric-dilaton theory with second derivative only. In constant background dilaton theory, there are two types of gravity background which enable the theory renormalizable at one-loop…

High Energy Physics - Theory · Physics 2010-11-19 Seiji Mukaigawa , Hiroyuki Takata

We study some two-dimensional dilaton gravity models using the formal theory of partial differential equations. This allows us to prove that the reduced phase space is two-dimensional without an explicit construction. By using a convenient…

General Relativity and Quantum Cosmology · Physics 2011-09-09 W. M. Seiler , R. W. Tucker

All 1+1 dimensional dipheomorphism-invariant models can be viewed in a unified manner. This includes also general dilaton theories and especially spherically symmetric gravity (SSG) and Witten's dilatonic black hole (DBH). A common feature…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. O. Katanaev , W. Kummer , H. Liebl , D. V. Vassilevich

Gravity coupled three--dimensional $\sigma$--model describing the stationary Einstein--Maxwell--dilaton system with general dilaton coupling is studied. Killing equations for the corresponding five--dimensional target space are integrated.…

High Energy Physics - Theory · Physics 2014-11-18 D. V. Gal'tsov , A. A. Garcia , O. V. Kechkin

A Yang-Mills theory linear in the scalar curvature for 2d gravity with symmetry generated by the semidirect product formed with the Lie derivative of the algebra of diffeomorphisms with the two-dimensional Abelian algebra is formulated. As…

High Energy Physics - Theory · Physics 2022-02-02 Sara Abentin , Fernando Ruiz Ruiz

We elaborated the gravitational collapse of a self-gravitating complex charged scalar field in the context of the low-energy limit of the string theory, the so-called dilaton gravity. We begin with the regular spacetime and follow the…

High Energy Physics - Theory · Physics 2011-11-10 Anna Borkowska , Marek Rogatko , Rafal Moderski