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In this study, we investigate a Palatini $f(R)$ gravity model featuring a quadratic term correction, aligning it with the most recent expansion rate data, with a particular focus on the latest SNIa and BAO data. Our analysis employs CC data…

广义相对论与量子宇宙学 · 物理学 2024-01-10 Débora Aguiar Gomes , Rebecca Briffa , Aleksander Kozak , Jackson Levi Said , Margus Saal , Aneta Wojnar

We derive a theory-independent version of the momentum constraint equation for use in cosmology, as a part of the Parameterised Post-Newtonian Cosmology (PPNC) framework. Our equations are constructed by adapting the corresponding…

广义相对论与量子宇宙学 · 物理学 2022-05-06 Theodore Anton , Timothy Clifton

It is well known that in quantum gravity, the very geometry of space and time is subject to continual fluctuation. The mathematical formulation for this old theory is still lacking. This article formulates this more than forty-year-old…

广义相对论与量子宇宙学 · 物理学 2024-09-27 Behzad Tajahmad

The recent type Ia supernova data suggest that the universe is accelerating now and decelerated in recent past. This may provide the evidence that the standard Friedmann equation needs to be modified. We analyze in detail a new model in the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yungui Gong , Xi-Ming Chen

The article investigates cosmological applications of $f(Q)$ theories in a non-coincident formalism. We explore a new $f(Q)$ theory dynamics utilizing a non-vanishing affine connection involving a non-constant function…

广义相对论与量子宇宙学 · 物理学 2024-10-03 Sneha Pradhan , Raja Solanki , P. K. Sahoo

In this work we study the cosmology of the general f(T) gravity theory. We express the modified Einstein equations using covariant quantities, and derive the gauge-invariant perturbation equations in covariant form. We consider a specific…

宇宙学与河外天体物理 · 物理学 2011-11-02 Baojiu Li , Thomas P. Sotiriou , John D. Barrow

Starting from an heuristic approach to the semiclassical limit in loop quantum gravity, the construction of effective Hamiltonians describing Planck length corrections to the propagation of photons and spin 1/2 fermions, leading to modified…

高能物理 - 唯象学 · 物理学 2016-11-09 Luis F. Urrutia

Extended teleparallel gravity, characterized by $F(Q)$ function where $Q$ is the non-metricity scalar, is one of the most promising approaches to general relativity. In this paper, we reexamine a specific dynamical dark energy model, which…

广义相对论与量子宇宙学 · 物理学 2024-08-14 Omar Enkhili , Safae Dahmani , Dalale Mhamdi , Taoufik Ouali , Ahmed Errahmani

Force-Free Flectrodynamics (FFE) is a non-linear system of equations modeling the evolution of the electromagnetic field, in the presence of a magnetically dominated relativistic plasma. This configuration arises on several astrophysical…

广义相对论与量子宇宙学 · 物理学 2016-04-20 Federico Carrasco , Oscar Reula

We propose a numerical method to solve general hyperbolic systems in any space dimension using forward Euler time stepping and continuous finite elements on non-uniform grids. The properties of the method are based on the introduction of an…

数值分析 · 数学 2015-09-25 Jean-Luc Guermond , Bojan Popov

This paper rigorously examines the potential of the $f(T, \mathcal{T})$ theory as a promising framework for understanding the dark sector of the universe, particularly in relation to cosmic acceleration. The $f(T, \mathcal{T})$ theory…

宇宙学与河外天体物理 · 物理学 2025-01-28 M. Koussour , O. Donmez , S. Bekov , A. Syzdykova , S. Muminov , A. I. Ashirova

We develop a new formalism for the treatment of gravitational backreaction in the cosmological setting. The approach is inspired by projective techniques in non-equilibrium statistical mechanics. We employ group-averaging with respect to…

广义相对论与量子宇宙学 · 物理学 2009-11-06 Charis Anastopoulos

One of the main challenges in the numerical modeling of binary neutron-star (BNS) mergers is long-term simulations of the post-merger remnant over timescales of the order of seconds. When this modeling includes all the aspects of complex…

广义相对论与量子宇宙学 · 物理学 2024-04-11 Harry Ho-Yin Ng , Jin-Liang Jiang , Carlo Musolino , Christian Ecker , Samuel D. Tootle , Luciano Rezzolla

This study explores the extension of teleparallel gravity within the framework of general relativity, introducing an algebraic function $f(T)$ dependent on the torsion scalar $T$. Motivated by the teleparallel formulation, we investigate…

宇宙学与河外天体物理 · 物理学 2024-09-30 M. Koussour , A. Altaibayeva , S. Bekov , F. Holmurodov , S. Muminov , J. Rayimbaev

In this paper, we have explored the field equations of $f(T,B)$ gravity and determined the dynamical parameters with the hyperbolic function of Hubble parameter. The accelerating behavior has been observed and the behavior of equation of…

广义相对论与量子宇宙学 · 物理学 2022-07-22 S. A. Kadam , B. Mishra , S. K. Tripathy

We present a new formulation of the Einstein equations based on a conformal and traceless decomposition of the covariant form of the Z4 system. This formulation combines the advantages of a conformal decomposition, such as the one used in…

广义相对论与量子宇宙学 · 物理学 2012-07-11 Daniela Alic , Carles Bona-Casas , Carles Bona , Luciano Rezzolla , Carlos Palenzuela

$3+1$ formulations of the Einstein field equations have become an invaluable tool in Numerical relativity, having been used successfully in modeling spacetimes of black hole collisions, stellar collapse and other complex systems. It is…

广义相对论与量子宇宙学 · 物理学 2016-10-25 Bishop Mongwane

Over the last years some interest has been gathered by $f(Q)$ theories, which are new candidates to replace Einstein's prescription for gravity. The non-metricity tensor $Q$ allows to put forward the assumption of a free torsionless…

宇宙学与河外天体物理 · 物理学 2021-03-17 Ismael Ayuso , Ruth Lazkoz , Vincenzo Salzano

Fermi Normal Coordinates (FNC) are a useful frame for isolating the locally observable, physical effects of a long-wavelength spacetime perturbation. Their cosmological application, however, is hampered by the fact that they are only valid…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Liang Dai , Enrico Pajer , Fabian Schmidt

In this paper we consider a static, cylindrically symmetric spacetime with coincident f(Q) gravity. Since the field equation of this spacetime in symmetric teleparallel gravity is suitable for choosing the function of f(Q) in the form of…

广义相对论与量子宇宙学 · 物理学 2024-09-23 Pınar Kirezli , Nilhan Özceylan