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The teleparallel versions of the Einstein and the Landau-Lifshitz energy-momentum complexes of the gravitational field are obtained. By using these complexes, the total energy of the universe, which includes the energy of both the matter…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Vargas Auccalla

This is a review of key aspects of a model presented at the Lake Como School: Dark Matter, Dark Energy, and the Cosmological Tensions, June, 2025. The associated publication can be found at: A Schlatter and R E Kastner 2023 J. Phys. Commun.…

General Relativity and Quantum Cosmology · Physics 2026-04-17 R. E. Kastner , Andreas Schlatter

We consider cosmological models in scalar tensor theories of gravity that describe an accelerating universe, and we study a family of inverse power law potentials, for which exact solutions of the Einstein equations are known. We also…

Astrophysics · Physics 2009-11-13 M. Demianski , E. Piedipalumbo , C. Rubano , P. Scudellaro

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

The convergence of scalar-tensor gravity to general relativity, or the departure from it, are described in a new analogy with heat dissipation in a viscous fluid. This new thermal picture is applied to cosmology, shedding light on whether…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Valerio Faraoni , Andrea Giusti

Poincar\'e gauge theory of gravity offers opportunities to solve some principal problems of general relativity theory and modern cosmology. In the frame of this theory the gravitational interaction can have the repulsion character in the…

General Relativity and Quantum Cosmology · Physics 2009-08-22 A. V. Minkevich

In this review we present a thoroughly comprehensive survey of recent work on modified theories of gravity and their cosmological consequences. Amongst other things, we cover General Relativity, Scalar-Tensor, Einstein-Aether, and Bimetric…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Timothy Clifton , Pedro G. Ferreira , Antonio Padilla , Constantinos Skordis

This review on dark energy is intended for a wider audience, beginners as well as experts. It contains important notes on various aspects of dark energy and its alternatives. The section on Newtonian cosmology followed by heuristic…

High Energy Physics - Theory · Physics 2009-09-26 M. Sami

The energy-momentum distribution of spatially homogeneous rotating spacetimes in the context of teleparallel theory of gravity is investigated. For this purpose, we use the teleparallel version of Moller prescription. It is found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Sharif , M. Jamil Amir

A new covariant generalization of Einstein's general relativity is developed which allows the existence of a term proportional to $T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory ($T_{\alpha\beta}$ is the…

General Relativity and Quantum Cosmology · Physics 2016-08-04 Mahmood Roshan , Fatimah Shojai

In this work, the $f(\mathcal{G},T)$ theory of gravity is recast in terms of the $\phi$ and $\psi$ fields within the scalar-tensor formulation, where $\mathcal{G}$ is the Gauss-Bonnet term and $T$ denotes the trace of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Adam Z. Kaczmarek , Dominik Szczęśniak

We generalize tensor-scalar theories of gravitation by the introduction of an abnormally weighting type of energy. This theory of tensor-scalar anomalous gravity is based on a relaxation of the weak equivalence principle that is now…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 J. -M. Alimi , A. Fuzfa

In the context of the teleparallel equivalent of general relativity, we show that the energy-momentum density for the gravitational field can be described by a true spacetime tensor. It is also invariant under local (gauge) translations of…

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

An energy for the homogeneous cosmological models is presented. More specifically, using an appropriate natural prescription, we find the energy within any region with any gravitational source for a large class of gravity theories--namely…

Astrophysics · Physics 2008-11-26 James M. Nester , Lau Loi So , T. Vargas

We give a novel formulation of classical double copy in the mini-superspace of static, spherically symmetric black holes where the map between the solutions of general relativity and Maxwell's theory can be realized in Boyer-Lindsquit…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

This work investigates alternative theories of gravity, the solutions to their field equations and the constraints that can be imposed upon them from observation and experiment. Specifically, we consider the cosmologies and spherically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Clifton

In this paper, a modification of general relativity is considered. It consists of generalizing the Lagrangian of matter in a non-linear way, that is, replacing the curvature scalar $R$ by a function $f(R,T_{\mu\nu} T^{\mu\nu} )$, where…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Á. J. C. Canuto , A. F. Santos

The Paper actually concerns a toy model, not physical Casimir cavities made of conducting plates, but the results are taken implicitly to apply in general. We question on general physical grounds one basic assumption and the results of a…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Massimo Cerdonio , Carlo Rovelli

We show that the statement in F. Sorge [Class. Quant. Grav. 36, no.23, 235006 (2019)] that the Casimir effect receives second order corrections due to gravity is not consistent. We remark especially on the tracing of the proper time…

High Energy Physics - Theory · Physics 2020-08-14 A. P. C. M. Lima , G. Alencar , R. R. Landim

This article was withdrawn by the arXiv.org administrators since it plagiarizes math.GT/0011056.

Geometric Topology · Mathematics 2007-05-23 Pratip Chakraborty , Unmesh Ghoshdastider , Puneet Sharma