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We find two-dimensional free-field variables for D-dimensional general relativity on spacetimes with D-2 commuting spacelike Killing vector fields and non-compact spatial sections for D>4. We show that there is a canonical transformation…

General Relativity and Quantum Cosmology · Physics 2009-01-16 A. Mikovic , N. Manojlovic

We present a Poisson-sigma model describing general 2D dilaton gravity with non-metricity, torsion and curvature. It involves three arbitrary functions of the dilaton field, two of which are well-known from metric compatible theories, while…

High Energy Physics - Theory · Physics 2010-11-02 M. Adak , D. Grumiller

A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of…

High Energy Physics - Theory · Physics 2009-10-28 Pio Jose Arias y Jorge Stephany

Quantum theory of dilaton gravity is studied in $2+\epsilon$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/\epsilon$ singularity in the…

High Energy Physics - Theory · Physics 2009-10-28 S. Kojima , N. Sakai , Y. Tanii

The Hamiltonian formulation of the tetrad gravity in any dimension higher than two, using its first order form when tetrads and spin connections are treated as independent variables, is discussed and the complete solution of the three…

General Relativity and Quantum Cosmology · Physics 2014-11-18 A. M. Frolov , N. Kiriushcheva , S. V. Kuzmin

We present a solvable model of two-dimensional dilaton-gravity coupled to a massless scalar field. We locally integrate the field equations and briefly discuss the properties of the solutions. For a particular choice of the coupling between…

High Energy Physics - Theory · Physics 2009-10-31 Marco Cavaglia

The general relativistic treatment of gravitation can be extended by preserving the geometrical nature of the theory but modifying the form of the coupling between curvature and stress tensors. The gravitation constant is thus replaced by…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marc-Thierry Jaekel , Serge Reynaud

We analyze the symplectic structure of two-dimensional dilaton gravity by evaluating the symplectic form on the space of classical solutions. The case when the spatial manifold is compact is studied in detail. When the matter is absent we…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , M. Navarro

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

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

We provide a holographic bulk realization of Carrollian free-field structures arising in three-dimensional asymptotically flat (higher-spin) gravity. We construct a class of boundary conditions that generalizes the diagonal gauge of Anti-de…

High Energy Physics - Theory · Physics 2026-05-01 Ethan D'Arcy , Arnaud Delfante , Stefan Fredenhagen

We apply the nonlinear realizations method for constructing new Galilean conformal mechanics models. Our starting point is the Galilean conformal algebra which is a non-relativistic contraction of its relativistic counterpart. We calculate…

High Energy Physics - Theory · Physics 2015-03-17 Sergey Fedoruk , Evgeny Ivanov , Jerzy Lukierski

Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in $D$ dimensions is dual to a conformal Carrollian field theory in $D - 1$ dimensions living at null infinity. In this…

High Energy Physics - Theory · Physics 2025-08-12 Harshal Kulkarni , Romain Ruzziconi , Akshay Yelleshpur Srikant

Reduced phase space formulation of CGHS model of 2d dilaton gravity is studied in en extrinsic time gauge. The corresponding Hamiltonian can be promoted into a Hermitian operator acting in the physical Hilbert space, implying a unitary…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic

We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [1] to the case including a weak…

Quantum Physics · Physics 2019-11-27 Philip K. Schwartz , Domenico Giulini

Following the approach of Grignani and Nardelli [1], we show how to cast the two-dimensional model $L \sim curv^2 + torsion^2 + cosm.const$ -- and in fact any theory of gravity -- into the form of a Poincare gauge theory. By means of the…

High Energy Physics - Theory · Physics 2009-10-22 Thomas Strobl

General Relativity in 4 dimensions can be equivalently described as a dynamical theory of SO(3)-connections rather than metrics. We introduce the notion of asymptotically hyperbolic connections, and work out an analog of the…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Joel Fine , Yannick Herfray , Kirill Krasnov , Carlos Scarinci

We introduce an external field to calculate the quantum corrections of the 2d gravity, via trace anomaly. We show that there are black hole type solution even in the absence of matter field and cosmological constant. We also see that these…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Alves

We study several aspects of higher-order gravities constructed from general contractions of the Riemann tensor and the metric in arbitrary dimensions. First, we use the fast-linearization procedure presented in arXiv:1607.06463 to obtain…

High Energy Physics - Theory · Physics 2017-02-15 Pablo Bueno , Pablo A. Cano , Vincent S. Min , Manus R. Visser

Quantum mechanical boundary conditions along a timelike line, corresponding to the origin in radial coordinates, in two-dimensional dilaton gravity coupled to $N$ matter fields, are considered. Conformal invariance and vacuum stability…

High Energy Physics - Theory · Physics 2009-09-25 A. Strominger , L. Thorlacius
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