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In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field…

Mathematical Physics · Physics 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

Emergent modified gravity has shown that the canonical formulation of general relativity gives rise to a larger class of covariant modifications than action-based approaches, so far in symmetry-reduced models. This outcome is made possible…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Martin Bojowald , Manuel Diaz , Erick I. Duque

The nature of gravitational singularities has been questioned by some recent research, challenging the notion that classical determinism breaks down at these points. By allowing for dynamic changes in the orientation of spatial…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Martina Adamo , Flavio Mercati

The fundamentals of the teleparallel equivalent of general relativity are presented, and its main properties described. In particular, the field equations, the definition of an energy--momentum density for the gravitational field, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

We systematically review some standard issues and also the latest developments of modified gravity in cosmology, emphasizing on inflation, bouncing cosmology and late-time acceleration era. Particularly, we present the formalism of standard…

General Relativity and Quantum Cosmology · Physics 2021-05-25 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

We submit the viewpoint that, perhaps, some of the controversies in gravitation occurred during this century are not due to insufficiencies of Einstein's field equations, but rather to insufficiencies in the mathematics used for their…

General Physics · Physics 2011-04-15 Ruggero Maria Santilli

Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely those that can carry matter field equations that are predictive, interpretable and quantizable. These three conditions on matter translate…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kristina Giesel , Frederic P. Schuller , Christof Witte , Mattias N. R. Wohlfarth

The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

Previous work has demonstrated that the gravitational field equations in all Lanczos-Lovelock models imply a thermodynamic identity TdS=dE+PdV (where the variations are interpreted as changes due to virtual displacement along the affine…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Sumanta Chakraborty , Krishnamohan Parattu , T. Padmanabhan

We first present open questions related to the foundations of thermodynamics and statistical physics. We then argue that in principle one can not have "closed systems", and that a universal background should exist. We propose that the…

Condensed Matter · Physics 2009-10-31 Eshel Ben-Jacob , Ziv Hermon , Alexsander Shnirman

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great…

High Energy Physics - Theory · Physics 2014-09-29 Cao H. Nam

We introduce the key ideas behind the group field theory approach to quantum gravity, and the basic elements of its formalism. We also briefly report on some recent results obtained in this approach, concerning both the mathematical…

High Energy Physics - Theory · Physics 2012-03-27 Daniele Oriti

Much of the twentieth century physics has considered rigid laws-- even Quantum Mechanics and Statistical Mechanics were based on such laws. These laws operated in a smooth spacetime manifold. However more recent approaches as in Quantum…

General Physics · Physics 2007-05-23 Burra G. Sidharth

Crucial observational tests of gravity physics are reviewed. Such tests are able to clarify the key question on the nature of gravitational interaction: is gravity the curvature of space? or is gravity a matter field in Minkowski flat space…

General Relativity and Quantum Cosmology · Physics 2008-11-07 Yu. V. Baryshev

We study the relation between the thermodynamics and field equations of generalized gravity theories on the dynamical trapping horizon with sphere symmetry. We assume the entropy of dynamical horizon as the Noether charge associated with…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Shao-Feng Wu , Xian-Hui Ge , Peng-Ming Zhang , Guo-Hong Yang

It is shown that the classical field equations pertaining to gravity coupled to other bosonic fields are equivalent to a single geodesic equation, describing the free fall of a point particle in superspace. Some implications for quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Greensite

A general paradigm for describing classical (and semiclassical) gravity is presented. This approach brings to the centre-stage a holographic relationship between the bulk and surface terms in a general class of action functionals and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 T. Padmanabhan

Theory of general relativity (GR) has been scrutinized by experts for almost a century and describes accurately all gravitational phenomena ranging from the solar system to the universe. However, this success is achieved provided one admits…

General Physics · Physics 2013-07-02 Ram Gopal Vishwakarma

In the present manuscript, I examine an intriguing relation at the classical level between general relativity and a theory where matter couples uniquely multiplicatively to geometry in the Lagrangian density. Interestingly, the…

General Relativity and Quantum Cosmology · Physics 2018-12-20 Olivier Minazzoli

In this review we discuss emergence of unimodular gravity (or, more precisely, Weyl transverse gravity) from thermodynamics of spacetime. By analyzing three different ways to obtain gravitational equations of motion by thermodynamic…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Ana Alonso-Serrano , Marek Liška
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