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Fefferman and Graham showed some time ago that four dimensional conformal geometries could be analyzed in terms of six dimensional, ambient, Riemannian geometries admitting a closed homothety. Recently it was shown how conformal geometry…

High Energy Physics - Theory · Physics 2014-11-21 Roberto Bonezzi , Emanuele Latini , Andrew Waldron

A one-parameter class of simple models of two-dimensional dilaton gravity, which can be exactly solved including back-reaction effects, is investigated at both classical and quantum levels. This family contains the RST model as a special…

High Energy Physics - Theory · Physics 2011-09-09 A. Fabbri , J. G. Russo

We discuss the Dirac quantization of two dimensional gravity with bosonic matter fields. After defining the extended Hamiltonian it is possible to fix the gauge completely. The commutators can all be obtained in closed form; nevertheless,…

High Energy Physics - Theory · Physics 2007-05-23 M. C. B. Abdalla , F. P. Devecchi , E. Abdalla

It is shown that the general solution of classical equations of motion in two dimensional dilaton gravity proposed by Callan, Giddings, Harvey and Strominger (CGHS) includes a Lorentzian wormhole solution in addition to a black hole…

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

We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has…

High Energy Physics - Theory · Physics 2022-02-09 Yuan Zhong

We consider f(R) = R + R^2 gravity interacting with a dilaton and a special non-standard form of nonlinear electrodynamics containing a square-root of ordinary Maxwell Lagrangian. In flat spacetime the latter arises due to a spontaneous…

High Energy Physics - Theory · Physics 2015-02-03 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

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

The generalized kinetic term of a dilaton gives the classical superinflation without recourse to any potential, and the quantum version of the dilaton gravity exhibits the finite curvature and graceful exit. For $p=2$ case, the model…

High Energy Physics - Theory · Physics 2008-02-03 Won T. Kim , Myungseok Yoon

We develop a hybrid formalism suitable for modeling scalar field dark matter, in which the phase-space distribution associated to the real scalar field is modeled by statistical equal-time two-point functions and gravity is treated by two…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Tomislav Prokopec , Pavel Friedrich

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter…

High Energy Physics - Theory · Physics 2010-11-01 Youngjai Kiem

We argue that two-dimensional dilaton gravity models can all be derived from an analog of Jacobson's covariant version of the first law of thermodynamics. We then specialize to the JT gravity model and couple it to massless fermions. This…

High Energy Physics - Theory · Physics 2022-05-17 Tom Banks , Patrick Draper , Bingnan Zhang

In this work we analyze the effects produced by bosonic and fermionic constituents, including quantum corrections, in two-dimensional (2D) cosmological models. We focus on a gravitational theory related to the…

General Relativity and Quantum Cosmology · Physics 2009-08-07 L. L. Samojeden , G. M. Kremer , F. P. Devecchi

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

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 provide the geometric actions for most general N=1 supergravity in two spacetime dimensions. Our construction implies an extension to arbitrary N. This provides a supersymmetrization of any generalized dilaton gravity theory or of any…

High Energy Physics - Theory · Physics 2010-02-03 M. Ertl , W. Kummer , T. Strobl

A model of Einstein-Hilbert action subject to the scale transformation is studied. By introducing a dilaton field as a means of scale transformation a new action is obtained whose Einstein field equations are consistent with traceless…

General Relativity and Quantum Cosmology · Physics 2010-08-25 F. Darabi

Over the past decades, many authors advertised models on complexified spacetime algebras for use in describing gravity. This work aims at providing phenomenological support to such claims, by introducing a one-parameter real phase $\alpha$…

General Physics · Physics 2023-05-30 Jens Köplinger

After a brief exposition of the simplest class of affine theories of gravity in multidimensional space-times with symmetric connections, we consider the spherical and cylindrical reductions of these theories to two-dimensional…

Mathematical Physics · Physics 2011-12-14 A. T. Filippov

A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory…

General Relativity and Quantum Cosmology · Physics 2014-11-17 José P. S. Lemos , Paulo M. Sá
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