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This work is focused on the theory of Gravitoelectromagnetism (GEM). In the first part of this work we present a brief review of gravitoelectromagnetism, we locate and discuss all the problems which appear in this approach. We also try to…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Athanasios Bakopoulos

Conceptual difficulties in semiclassical and quantum gravity arise from diffeomorphism invariance of classical general relativity. With a motivation to shed some light on these difficulties, we study a class of toy models for which…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Hrvoje Nikolic

Unimodular Gravity is one of the oldest geometric gravity theory alternative to General Relativity. Essentially, it is based on the Einstein-Hilbert Lagrangian with an additional constraint on the determinant of the metric. It can be…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Marcelo H. Alvarenga , Júlio C. Fabris , Hermano Velten

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Mikko Partanen , Jukka Tulkki

We consider models of gravitation that are based on unimodular general coordinate transformations (GCT). These transformations include only those which do not change the determinant of the metric. We treat the determinant as a separate…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

The explicit violation of the general covariance on the whole and its minimal violation to the unimodular covariance specifically is considered. The proper extension of General Relativity is shown to describe consistently the massive scalar…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. F. Pirogov

In this work we study diffeomorphism-invariant metric-affine theories of gravity from the point of view of self-interacting field theories on top of Minkowski spacetime (or other background). We revise how standard metric theories couple to…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Adrià Delhom , Gerardo García-Moreno , Manuel Hohmann , Alejandro Jiménez-Cano , Tomi S. Koivisto

We reflect on the possibility of having a matter action that is invariant only under transverse diffeomorphisms. This possibility is particularly interesting for the dark sector, where no restrictions arise based on the weak equivalence…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Darío Jaramillo-Garrido , Antonio L. Maroto , Prado Martín-Moruno

Within the context of a $5D$ space-time, we construct a unified theory of gravity and electromagnetism from which the Einstein field equations and Maxwell equations emerge, with homogenous Maxwell equations appearing naturally. We also…

General Relativity and Quantum Cosmology · Physics 2010-06-17 A. Borzou , H. R. Sepangi

We study global scale invariance along with the unimodular gravity in the vacuum. The global scale invariant gravitational action which follows the unimodular general coordinate transformations is considered without invoking any scalar…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-01 Naveen K. Singh

On the basis of a limited number of reasonable axioms, we discuss the classification of all the possible universality classes of diffeomorphisms invariant metric theories of quantum gravity. We use the language of the renormalization group…

High Energy Physics - Theory · Physics 2021-08-05 Riccardo Martini , Alessandro Ugolotti , Omar Zanusso

From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Sergio Giardino

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Thomas P. Sotiriou

It is well known that general relativity (GR) does not possess any non-trivial local (in a precise standard sense) and diffeomorphism invariant observables. We propose a generalized notion of local observables, which retain the most…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Igor Khavkine

We propose an alternative description of generalized unimodular gravity (GUMG), extending the Henneaux-Teitelboim approach to unimodular gravity (UMG). The central feature of this formulation is the consistent incorporation of time…

High Energy Physics - Theory · Physics 2025-05-22 Dmitry Nesterov , Ksenia Lyamkina

It is claimed that in the unimodular gravity framework the observational fact of exponential expansion of the universe cannot be taken as evidence for the presence for a cosmological constant or similar quintessence.

General Relativity and Quantum Cosmology · Physics 2023-09-19 Enrique Alvarez , Jesus Anero

A general diffeomorphism invariant SU(2) gauge theory is a gravity theory with two propagating polarizations of the graviton. We develop this description of gravity, in particular for future applications to the perturbative quantization.…

High Energy Physics - Theory · Physics 2011-08-09 Kirill Krasnov

The proposed temporal fluctuations model attempt for a unitary vision on gravity, electromagnetism and inertia. On obtain Newton law of gravitation and Coulomb law by starting from simple principles. On obtain too the main results of…

General Physics · Physics 2007-05-23 Viorel Drafta

We consider a model of gravity and matter fields which is invariant only under unimodular general coordinate transformations (GCT). The determinant of the metric is treated as a separate field which transforms as a scalar under unimodular…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-04 Pankaj Jain , Atul Jaiswal , Purnendu Karmakar , Gopal Kashyap , Naveen K. Singh

The scalar-tensor theory of gravitation has been and still is one of the most widely discussed "alternative theories" to General Relativity (GR). Despite nearly half a century of its age, it continues to attract renewed interests of not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasunori Fujii