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We provide a new extension of general relativity (GR) which has the remarkable property of being more constrained than GR plus a cosmological constant, having one less free parameter. This is implemented by allowing the cosmological…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Stephon Alexander , Marina Cortês , Andrew R. Liddle , João Magueijo , Robert Sims , Lee Smolin

We consider the possibility of generalizing the Newtonian law of gravity and the transition to a general relativistic model for weak fields with the inclusion of a repulsive term identified as a cosmological constant. The analysis includes…

General Relativity and Quantum Cosmology · Physics 2020-12-10 N. N. Fimin , V. M. Chechetkin

The exploration of teleparallel gravity has been done from a dynamical systems point of view in order to be tested against the cosmological evolution currently observed. So far, the proposed autonomous systems have been restrictive over a…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Geovanny A. Rave-Franco , Celia Escamilla-Rivera , Jackson Levi Said

This paper presents a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. It differs from others in the literature in that we give, in…

Astrophysics · Physics 2015-06-24 Chung-Pei Ma , Edmund Bertschinger

In gravitostatics, the minimally generalized Newtonian theory, the simplest cosmological model implies a cosmological redshift with acceleration parameter -1. If the gravitational potential satisfies a wave equation, the total mass density…

Astrophysics · Physics 2007-05-23 Peter Rastall

The renormalization group in effective quantum gravity can be consistently formulated using the Vilkovisky and DeWitt version of effective action and assuming a non-zero cosmological constant. Taking into account that the vacuum counterpart…

High Energy Physics - Theory · Physics 2022-11-08 Breno L. Giacchini , Tibério de Paula Netto , Ilya L. Shapiro

We explore the introduction of the cosmological constant via equivalent transformations in cosmology. We consider the Wheeler-DeWitt equation for the CDM universe and we construct the Hamilton-Jacobi action for the $\Lambda$CDM model. We…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Andronikos Paliathanasis

In the present article, we have obtained an exact analytical solution of six-dimensional pure Gauss-Bonnet gravity in the presence of both NUT and Maxwell charges. The topology of the horizon is chosen to be the product of two 2-spheres.…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Sajal Mukherjee , Subhajit Barman

Gravitational instability in classical Jeans theory, General Relativity, and modified gravity is considered. The background density increase leads to a faster growth of perturbations in comparison with the standard theory. The transition to…

General Relativity and Quantum Cosmology · Physics 2015-06-22 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

The deceleration parameter q as the diagnostic of the cosmological accelerating expansion is investigated. By expanding the luminosity distance to the fourth order of redshift and the so-called y-redshift in two redshift bins and fitting…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Ronggen Cai , Zhongliang Tuo

We confront massive Proca-Nuevo gravity with cosmological observations. The former is a non-linear theory involving a massive spin-1 field, that can be extended incorporating operators of the Generalized Proca class, and when coupled to…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Fotios K. Anagnostopoulos , Emanuel N. Saridakis

I construct exact solutions for general nonextremal rotating, charged Kaluza-Klein black holes with a cosmological constant and with arbitrary angular momenta in all higher dimensions. I then investigate their thermodynamics and find their…

High Energy Physics - Theory · Physics 2011-08-23 Shuang-Qing Wu

We describe a post-Minkowskii approximation of general relativity as a power series expansion in G, Newton's gravitational constant. Material sources are hidden behind boundaries, and only the vacuum Einstein equations are considered. An…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler , Lee H. Brown

In this work, the solution space in the Newman-Penrose formalism with a cosmological constant is derived. The residual gauge transformation preserving the solution space is also worked out. By turning off the cosmological constant, the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Pujian Mao

The canonical analysis and subsequent quantization of the (2+1)-dimensional action of pure gravity plus a cosmological constant term is considered, under the assumption of the existence of one spacelike Killing vector field. The proper…

General Relativity and Quantum Cosmology · Physics 2009-01-07 T. Christodoulakis , G. Doulis , Petros A Terzis , E. Melas , Th. Grammenos , G. O. Papadopoulos , A. Spanou

After recalling why dynamical adjustment mechanisms represent a particularly attractive possibility for solving the cosmological constant problem, we briefly discuss their intrinsic difficulties as summarized in Weinberg's no-go theorem. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hebecker

The generalization of (super)integrable Euclidean classical Hamiltonian systems to the two-dimensional sphere and the hyperbolic space by preserving their (super)integrability properties is reviewed. The constant Gaussian curvature of the…

Mathematical Physics · Physics 2019-07-16 Angel Ballesteros , Alfonso Blasco , Francisco J. Herranz

We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the…

Quantum Physics · Physics 2016-08-14 Marcin Zwierz , Carlos A. Pérez-Delgado , Pieter Kok

The 3+1 (canonical) decomposition of all geometries admitting two-dimensional space-like surfaces is exhibited. A proposal consisting of a specific re-normalization {\bf Assumption} and an accompanying {\bf Requirement} is put forward,…

General Relativity and Quantum Cosmology · Physics 2013-05-06 T. Christodoulakis , G. Doulis , Petros A. Terzis , E. Melas , Th. Grammenos , G. O. Papadopoulos , A. Spanou

The Einstein-Cartan theory of gravity can arise from a mechanism of spontaneous symmetry breaking within the context of pre-geometric gauge theories. In this work, we develop the Hamiltonian analysis of such theories. By making contact with…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Andrea Addazi , Salvatore Capozziello , Antonino Marcianò , Giuseppe Meluccio
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