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We study the local behaviour of static solutions of a general 1+1 dimensional dilaton gravity theory coupled to scalar fields and Abelian gauge fields near horizons. This type of model includes in particular reductions of higher dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. T. Filippov , D. Maison

A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absence of matter we go over the the case in which matter is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pietro Menotti

General N=(1,1) dilaton supergravity in two dimensions allows a background independent exact quantization of the geometric part, if these theories are formulated as specific graded Poisson-sigma models. The strategy developed for the…

High Energy Physics - Theory · Physics 2009-11-10 L. Bergamin , D. Grumiller , W. Kummer

We present a review of the canonical quantization approach to the problem of non-perturbative 2d dilaton gravity. In the case of chiral matter we describe a method for solving the constraints by constructing a Kac-Moody current algebra. For…

High Energy Physics - Theory · Physics 2008-02-03 A. Mikovic

We derive two-dimensional (2D) solutions of a generic dilaton gravity model coupled with matter, which describe D-dimensional static black holes with pointlike sources. The equality between the mass M of the D-dimensional gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mariano Cadoni , Salvatore Mignemi

General static solutions of effectively 2-dimensional Einstein-Dilaton-Maxwell-Scalar theories are obtained. Our model action includes a class of 2-d dilaton gravity theories coupled with a $U(1)$ gauge field and a massless scalar field.…

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

We present a generalization of the spinor and twistor geometry for on (pseudo) Riemannian manifolds enabled with nonholonomic distributions or for Finsler-Cartan spaces modelled on tangent Lorentz bundles. Nonholonomic (Finsler) twistors…

Mathematical Physics · Physics 2015-06-01 Sergiu I. Vacaru

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

We discuss aspects of generic 2-dimensional dilaton gravity theories. The 2-dim geometry is in general conformal to $AdS_2$ and has IR curvature singularities at zero temperature: this can be regulated by a black hole. The on-shell action…

High Energy Physics - Theory · Physics 2021-07-21 K. Narayan

A large class of two-dimensional dilaton-gravity theories in asymptotically AdS$_2$ spacetimes are holographically dual to a matrix integral, interpreted as an ensemble average over Hamiltonians. Viewing these theories as Jackiw-Teitelboim…

High Energy Physics - Theory · Physics 2021-10-27 Gustavo J. Turiaci , Mykhaylo Usatyuk , Wayne W. Weng

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

We study the static black hole solutions of generalized two-dimensional dilaton-gravity theories generated by pointlike mass sources, in the hypothesis that the matter is conformally coupled. We also discuss the motion of test particles.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Melis , S. Mignemi

We review the actions of the supergravity theory in eleven dimensions as well as the type IIA and IIB supergravities in ten dimensions and derive the bosonic equations of motion in a coordinate-free notation. We also consider the existence…

Differential Geometry · Mathematics 2016-07-20 M. J. D. Hamilton

We study models of axi-dilaton gravity in space-time geometries with torsion. We discuss conformal re-scaling rules in both Riemannian and non-Riemannian formulations. We give static, spherically symmetric solutions and examine their…

General Relativity and Quantum Cosmology · Physics 2010-11-19 H. Cebeci , T. Dereli

We obtain a new exact equilibrium solution to the N-body problem in a one-dimensional relativistic self-gravitating system. It corresponds to an expanding/contracting spacetime of a circle with N bodies at equal proper separations from one…

General Relativity and Quantum Cosmology · Physics 2017-08-23 R. Kerner , R. B. Mann

We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Takuya Maki , Kiyoshi Shiraishi

We investigate the gauging of a two-dimensional deformation of the Poincare algebra, which accounts for the existence of an invariant energy scale. The model describes 2D dilaton gravity with torsion. We obtain explicit solutions of the…

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

We revisit supersymmetric solutions to five dimensional ungauged N=1 supergravity with dynamic hypermultiplets. In particular we focus on a truncation to the axion-dilaton contained in the universal hypermultiplet. The relevant solutions…

High Energy Physics - Theory · Physics 2015-06-22 Joris Raeymaekers , Dieter Van den Bleeken

The use of a diffeomorphism covariant star product enables us to construct diffeomorphism invariant gravities on noncommutative symplectic manifolds without twisting the symmetries. As an example, we construct noncommutative deformations of…

High Energy Physics - Theory · Physics 2011-04-14 D. V. Vassilevich

A set of simple rules for constructing the maximal (e.g. analytic) extensions for any metric with a Killing field in an (effectively) two-dimensional spacetime is formulated. The application of these rules is extremely straightforward, as…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Kloesch , T. Strobl