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Cosmological approaches of autonomous dynamical system in the framework of $f(T)$ gravity are investigated in this paper. Our methods applied to flat Friedmann-Robertson-Walker equations in $f(T)$ gravity, consist to extract dynamical…

General Relativity and Quantum Cosmology · Physics 2018-05-02 M. G. Ganiou , P. H. Logbo , M. J. S. Houndjo , J. Tossa

The trace-free version of the Einstein Gravitational equations, essentially equivalent to unimodular gravity, can solve the troubling issue of the huge discrepancy between quantum field theory estimates of the vacuum energy density and the…

General Relativity and Quantum Cosmology · Physics 2014-12-31 George F R Ellis

In the present paper an attempt has been made to study the spatially homogeneous and isotropic FRW model and axially symmetric spacetime in f(R) theory of gravity. We have obtained the solutions of the field equations in vacuum. To find the…

General Relativity and Quantum Cosmology · Physics 2017-03-21 P. K. Agrawal , D. D. Pawar

We present a method to calculate the gravitational energy when asymptotic boundary conditions for the space-time are not given. This is the situation for most of the cosmological models. The expression for the gravitational energy is…

General Relativity and Quantum Cosmology · Physics 2010-10-18 S. C. Ulhoa , J. F. da Rocha Neto , J. W. Maluf

In this work, a global dynamical analysis of spatially flat FLRW cosmologies driven by a canonical scalar field minimally coupled to gravity is presented. Under suitable regularity and asymptotic assumptions on the scalar field potential,…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Prasanta Sahoo

We extend the usual vacuum Metric-Affine $f(R)$ Gravity by supplementing it with all parity even quadratic invariants in torsion and non-metricity. As we show explicitly this supplementation drastically changes the status of the Theory…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Damianos Iosifidis

We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge. The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity. In the…

High Energy Physics - Theory · Physics 2019-05-22 Aaron Poole , Kostas Skenderis , Marika Taylor

A cosmological model with perfect fluid and self-interacting quintessence field is considered in the framework of the spatially flat Friedmann-Robertson-Walker (FRW) geometry. By assuming that all physical quantities depend on the volume…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. K. Mak , T. Harko

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

In the framework of asymptotic safety, we study quantum quadratic gravity in the presence of the Higgs field considered as non-separable from the vacuum. The theory flows to a high energy fixed point where the Higgs field is strongly…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Mohammad Mehrafarin

We consider the field equations for a flat FRW cosmological model, in a generic $f(R)$ gravity model and cast them into a, completely normalized-dimensionless, system of O.D.Es for the scale factor and the function $f(R)$, with respect to…

General Relativity and Quantum Cosmology · Physics 2018-01-24 A. Kuiroukidis

We consider two BF formulations of the theory of gravity with a negative cosmological constant, of Plebanski and of MacDowell-Mansouri. Both give the standard Einstein equations in the bulk but differ in expressions of edge charges. We…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Remigiusz Durka , Jerzy Kowalski-Glikman

A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are explicitly solved for this case, and a self-consistent de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Guillem Perez-Nadal , Albert Roura , Enric Verdaguer

We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model. Furthermore we prove that a conformally…

General Relativity and Quantum Cosmology · Physics 2018-11-08 Salvatore Capozziello , Carlo Alberto Mantica , Luca Guido Molinari

We analyse scale invariant quadratic quantum gravity incorporating non-minimal coupling to a multiplet of scalar fields in a gauge theory, with particular emphasis on the consequences for its interpretation resulting from a transformation…

High Energy Physics - Theory · Physics 2018-03-07 Martin B. Einhorn , D. R. Timothy Jones

The Asymptotic Safety Hypothesis for gravity relies on the existence of an interacting fixed point of the Wilsonian renormalization group flow, which controls the microscopic dynamics, and provides a UV completion of the theory. Connecting…

High Energy Physics - Theory · Physics 2024-06-17 Agustín Silva

We prove the existence of static, asymptotically flat non-vacuum spacetimes with axial symmetry where the matter is modeled as a collisionless gas. The axially symmetric solutions of the resulting Einstein-Vlasov system are obtained via the…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Hakan Andreasson , Markus Kunze , Gerhard Rein

It is generically believed that higher-order curvature corrections to the Einstein-Hilbert action might cure the curvature singularities that plague general relativity. Here we consider Einstein-scalar-Gauss-Bonnet gravity, the only…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Laura Sberna , Paolo Pani

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

We study the non-perturbative renormalization group flow of f(R)-gravity in three-dimensional Asymptotically Safe Quantum Einstein Gravity. Within the conformally reduced approximation, we derive an exact partial differential equation…

High Energy Physics - Theory · Physics 2013-02-07 Maximilian Demmel , Frank Saueressig , Omar Zanusso