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We study point particles in 2+1 dimensional first order gravity using a triangulation to fix the connection and frame-field. The Hamiltonian is reduced to a boundary term which yields the total mass. The triangulation is dynamical with…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Jonathan Ziprick

We consider solutions to the cosmological equations of motion in 11 dimensions with and without 4-form charges. We show explicitly the correspondence between some of these solutions and known solutions in 10 dimensional string gravity. New…

High Energy Physics - Theory · Physics 2014-11-18 Nemanja Kaloper , Ian I. Kogan , Keith A. Olive

We extend a recently discovered, non-singular 6 dimensional brane, solution to D=4+n dimensions. As with the previous 6D solution the present solution provides a gravitational trapping mechanism for fields of spin 0, 1/2, 1 and 2. There is…

High Energy Physics - Theory · Physics 2009-11-10 Douglas Singleton

We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a…

High Energy Physics - Theory · Physics 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

Critical collapse of a self-gravitating scalar field in a (2+1)-dimensional spacetime with negative cosmological constant seems to be dominated by a continuously self-similar solution of the field equations without cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marco Cavaglia , Gerard Clement , Alessandro Fabbri

The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Yen-Kheng Lim

The quantum gravity problem of N point particles interacting with the gravitational field in 2+1 dimensions is approached working out the phase-space functional integral. The maximally slicing gauge is adopted for a non compact open…

High Energy Physics - Theory · Physics 2017-08-23 Luigi Cantini , Pietro Menotti

In this paper we perform systematic investigation of all possible solutions with static compact extra dimensions and expanding three-dimensional subspace (``our Universe''). Unlike previous papers, we consider extra-dimensional subspace to…

General Relativity and Quantum Cosmology · Physics 2021-04-22 Dmitry Chirkov , Alex Giacomini , Sergey A. Pavluchenko , Alexey Toporensky

Conformally related metrics and Lagrangians are considered in the context of scalar-tensor gravity cosmology. After the discussion of the problem, we pose a lemma in which we show that the field equations of two conformally related…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Michael Tsamparlis , Andronikos Paliathanasis , Spyros Basilakos , Salvatore Capozziello

We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

High Energy Physics - Theory · Physics 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

We present in this work the study of the linear perturbations of the 2+1-dimensional circularly symmetric solution, obtained in a previous work, with kinematic self-similarity of the second kind. We have obtained an exact solution for the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

The vacuum Einstein equations in 5+1 dimensions are shown to admit solutions describing naked singularity formation in gravitational collapse from nonsingular asymptotically locally flat initial data that contain no trapped surface. We…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Xinliang An , Xuefeng Zhang

In this work we study the 2+1 Einstein-Klein-Gordon system in the framework of Gravitational Decoupling. We associate the generic matter decoupling sector with a real scalar field so we can obtain a constraint which allows to close the…

General Relativity and Quantum Cosmology · Physics 2022-03-07 Pio J. Arias , Pedro Bargueño , Ernesto Contreras , Ernesto Fuenmayor

We present a family of time-dependent solutions to 2+1 gravity with negative cosmological constant and a massless scalar field as source. These solutions are continuously self-similar near the central singularity. We analyze linear…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gerard Clement , Alessandro Fabbri

We describe an approach to the quantisation of (2+1)-dimensional gravity with topology R x T^2 and negative cosmological constant, which uses two quantum holonomy matrices satisfying a q-commutation relation. Solutions of diagonal and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. E. Nelson , R. F. Picken

In the context of extended Teleparallel gravity theories with a 3+1 dimensions Gauss-Bonnet analog term, we address the possibility of these theories reproducing several well-known cosmological bouncing scenarios in a four-dimensional…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Alvaro de la Cruz-Dombriz , Gabriel Farrugia , Jackson Levi Said , Diego Saez-Chillon Gomez

Motivated by the recent works of Refs. \cite{R1, R2} where a model of inflation has been suggested with non-minimally coupled massive vector fields, we generalize their work to the study of the bouncing solution. So we consider a massive…

High Energy Physics - Theory · Physics 2015-05-18 J. Sadeghi , M. R. Setare , A. R. Amani , S. M. Noorbakhsh

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

Under a weak assumption of the existence of a geodesic null congruence, we present the general solution of the Einstein field equations in three dimensions with any value of the cosmological constant, admitting an aligned null matter field,…

General Relativity and Quantum Cosmology · Physics 2021-08-09 Jiri Podolsky , Robert Svarc , Hideki Maeda

We work out the phase-space functional integral of the gravitational field in 2+1 dimensions interacting with N point particles in an open universe.

High Energy Physics - Theory · Physics 2007-05-23 Luigi Cantini , Pietro Menotti