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A relativistic gas in a Schwarzschild metric is studied within the framework of a relativistic Boltzmann equation in the presence of gravitational fields, where Marle's model for the collision operator of the Boltzmann equation is employed.…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Gilberto M. Kremer

A description of how a theory of gravity can be considered as a gauge theory (in the sense of Trautman) of the Poincare' group is given. As a result, it is shown that a gauge theory of this kind is consistent with the Equivalence Principle…

Differential Geometry · Mathematics 2010-01-07 A. Spiro , S. Tantucci

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Cangemi

There is natural association of entropy with gravitational systems on one hand and partition of natural numbers on the other hand. We show that given a partition of natural numbers, it is possible to directly associate a metric with it.…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Atreya Chatterjee

We reformulate two dimensional string-inspired gravity with point particles as a gauge theory of the extended Poincar\'e group. A non-minimal gauge coupling is necessary for the equivalence of the two descriptions. The classical…

High Energy Physics - Theory · Physics 2011-09-09 Dongsu Bak , Domenico Seminara

Based on the Generalized Principle of Inertia, which states that: \emph{An inanimate object moves freely, that is, with zero acceleration, in its own spacetime, whose geometry is determined by all of the forces affecting it,} we geometrize…

General Physics · Physics 2020-01-08 Yaakov Friedman , Tzvi Scarr

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical…

High Energy Physics - Theory · Physics 2015-06-12 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

With the recent progress in observations of astrophysical black holes, it has become more important to understand in detail the physics of strongly gravitating horizonless objects. If the objects identified in the observations are indeed…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ufuk Aydemir , Jing Ren

The two lineal gravities --- based on the de Sitter group or a central extension of the Poincar\'e group in 1+1 dimensions --- are shown to derive classically from a unique topological gauge theory. This one is obtained after a dimensional…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Daniel Cangemi

This work presents instructive, yet comprehensive derivation of quantized gravity theories in relativistic, classical, and semi-classical spacetime structure based on the Poincar\'e, Galilean, and Bargmann algebra, respectively. The…

General Relativity and Quantum Cosmology · Physics 2021-12-30 K. N. Lian

The dynamics of a particle moving in background electromagnetic and gravitational fields is revisited from a Lie group cohomological perspective. Physical constants characterising the particle appear as central extension parameters of a…

High Energy Physics - Theory · Physics 2009-11-07 V. Aldaya , J. L. Jaramillo , J. Guerrero

We adopt a 'thermodynamical' formulation of Mach's principle that the rest mass of a particle in the Universe is a measure of its long-range collective interactions with all other particles inside the horizon. We consider all particles in…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Merab Gogberashvili

In this paper, we have investigated the thermodynamics of Schwarzschild black holes using the symmetric generalized uncertainty principle which contains correction terms involving momentum and position uncertainty. We obtain the…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Abhijit Dutta , Sunandan Gangopadhyay

The starting point of this work is the original Einstein action, sometimes called the Gamma squared action. Continuing from our previous results, we study various modified theories of gravity following the Palatini approach. The metric and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Christian G. Boehmer , Erik Jensko

A family of exact vacuum solutions, representing generalized plane waves propagating on the (anti-)de Sitter background, is constructed in the framework of Poincar\'e gauge theory. The wave dynamics is defined by the general Lagrangian that…

General Relativity and Quantum Cosmology · Physics 2017-09-21 Milutin Blagojević , Branislav Cvetković , Yuri N. Obukhov

We study gauge properties of the general teleparallel theory of gravity, defined in the framework of Poincare gauge theory. It is found that the general theory is characterized by two kinds of gauge symmetries: a specific gauge symmetry…

High Energy Physics - Theory · Physics 2009-10-31 M. Blagojevic , M. Vasilic

It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of test particles must be invariant under geodesic (projecive) mappings of the used space-time. The reason is that due to invariance of the equations…

General Relativity and Quantum Cosmology · Physics 2011-07-25 Leonid V. Verozub

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

It is shown that the gauge field in Poincare-gauge theory of gravity consists in two parts: the translational gauge field (t -field), which is generated by the energy-momentum current of external fields, and the rotational gauge field (r…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Boris N. Frolov

The idea of gauge theories of gravity predicts that there should exist not only the massless graviton but also massive particles carrying the gravitational force. We study the cosmology in a quadratic gravity with dynamical torsion where…

High Energy Physics - Theory · Physics 2020-06-17 Katsuki Aoki , Shinji Mukohyama
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