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Unimodularity can be implemented in different ways. In this paper we consider only the formulation of Unimodular Gravity in which the unimodular metric is obtained out of an unrestricted one as $\g_{\m\n}=|g|^{-{1\over n}} g_{\m\n}$. This…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Enrique Alvarez , Jesus Anero , Irene Sanchez-Ruiz

The Poincar\'e gauge theory (PGT) of gravity provides a viable formulation of general relativity (Einstein-Cartan theory), and a popular model-building framework for modified gravity with torsion. Notoriously, however, the PGT terms which…

High Energy Physics - Theory · Physics 2025-03-05 Will Barker , Michael Hobson , Anthony Lasenby , Yun-Cherng Lin , Zhiyuan Wei

We propose a "guide" towards quantisation of gravity based on quantum matter in a statistical mechanics context. On one hand, a statistical mechanics model naturally arises from the thermodynamic interpretation of horizons in Rindler space.…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Pierre A Mandrin

A massive relativistic spinning point particle in any number of dimensions has in a previous article been shown to be described by first class constraints, which define a gauge theory. In the present paper we find the corresponding finite…

High Energy Physics - Theory · Physics 2007-05-23 J. H. Lorentsen , N. K. Nielsen

We examine the dynamics of a self--gravitating magnetized neutron gas as a source of a Bianchi I spacetime described by the Kasner metric. The set of Einstein-Maxwell field equations can be expressed as a dynamical system in a 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2010-03-17 D. Manreza Paret , A. Perez Martinez , A. Ulacia Rey , Roberto A. Sussman

GR and other metric theories of gravity are formulated with an arbitrary auxiliary curved background in a Lagrangian formalism. A new sketch of how to include spinor fields is included. Conserved quantities are obtained using Noether's…

General Relativity and Quantum Cosmology · Physics 2020-04-23 A. N. Petrov , J. Brian Pitts

We propose a cosmological model in the framework of the Poincar\'e gauge theory of gravity (PG). The gravitational Lagrangian is quadratic in curvature and torsion. In our specific model, the Lagrangian contains (i) the curvature scalar $R$…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Peter Baekler , Friedrich W. Hehl , James M. Nester

A new approach based on a statistical operator is presented, which allows to take into account the inhomogeneous particle distribution induced by gravitational interaction. This method uses the saddle point procedure to find the dominant…

General Physics · Physics 2020-10-20 B. I. Lev

A U(1) gauge theory turns, on physically motivated models of Quantum Spacetime, into a U($\infty$) gauge theory, hence free classical electrodynamics is no longer free and neutral fields may have electromagnetic interactions. We discuss the…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Sergio Doplicher , Klaus Fredenhagen , Gerardo Morsella , Nicola Pinamonti

An effective theory of gravity in the infrared is proposed, which involves the determinant of the metric relative to the determinant of a prior metric taken to be that of Minkowski spacetime. This effective theory can be interpreted as a…

High Energy Physics - Theory · Physics 2017-02-15 F. R. Klinkhamer

A nonlocal generalization of Einstein's theory of gravitation is constructed within the framework of the translational gauge theory of gravity. In the linear approximation, the nonlocal theory can be interpreted as linearized general…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Friedrich W. Hehl , Bahram Mashhoon

A recent study [Annals Phys. 455 (2023) 169394, e-Print: 2204.01901 [gr-qc]] examined the thermodynamic behavior of an axially symmetric black hole within a non-commutative framework that mimics the effect of an angular momentum. However,…

General Relativity and Quantum Cosmology · Physics 2025-12-17 A. A. Araújo Filho , Iarley P. Lobo

It is well known that in a generally covariant gravitational theory the choice of spacetime scalars as coordinates yields phase-space observables (or "invariants"). However their relation to the symmetry group of diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2009-11-19 J. M. Pons , D. C. Salisbury , K. A. Sundermeyer

We investigate a quantum geometric space in the context of what could be considered an emerging effective theory from Quantum Gravity. Specifically we consider a two-parameter class of twisted Poincar\'e algebras, from which Lie-algebraic…

Mathematical Physics · Physics 2017-05-26 Cesar A. Aguillón , Albert Much , Marcos Rosenbaum , J. David Vergara

The Poincar\'e gauge theory of gravity has a metric compatible connection with independent dynamics that is reflected in the torsion and curvature. The theory allows two good propagating spin-0 modes. Dynamical investigations using a simple…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Fei-Hung Ho , James M. Nester

The spacetime of the metric-affine gauge theory of gravity (MAG) encompasses {\it nonmetricity} and {\it torsion} as post-Riemannian structures. The sources of MAG are the conserved currents of energy-momentum and dilation, shear and spin.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yu. N. Obukhov , E. J. Vlachynsky , W. Esser , R. Tresguerres , F. W. Hehl

We introduce a dual lifting of unified gauge theories, the first characterized by the isotopies, which are axiom- preserving maps into broader structures with positive-definite generalized units used for the representation of matter under…

General Physics · Physics 2015-06-26 Ruggero Maria Santilli

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It…

General Relativity and Quantum Cosmology · Physics 2008-05-20 Leonid Verozub

We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory…

High Energy Physics - Theory · Physics 2023-03-28 Kilian Hersent , Philippe Mathieu , Jean-Christophe Wallet

We study a spherically symmetric setup consisting of a Schwarzschild metric as the background geometry in the framework of classical polymerization. This process is an extension of the polymeric representation of quantum mechanics in such a…

High Energy Physics - Theory · Physics 2018-09-24 Babak Vakili