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We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group. We then obtain a Maxwell modified metric affine…

高能物理 - 理论 · 物理学 2021-10-27 Oktay Cebecioğlu , Salih Kibaroğlu

General Relativity (GR) exists in different formulations. They are equivalent in pure gravity but generically lead to distinct predictions once matter is included. After a brief overview of various versions of GR, we focus on metric-affine…

高能物理 - 理论 · 物理学 2023-11-09 Claire Rigouzzo , Sebastian Zell

The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field \(B_\mu\) has a one-component time-like vacuum expectation value \(b_\mu\) is studied. We show that in general curved space-time solutions are not…

广义相对论与量子宇宙学 · 物理学 2026-01-07 Hao Li , Jie Zhu

Recently a class of alternative theories of gravity which goes under the name f(R) gravity, has received considerable attention, mainly due to its interesting applications in cosmology. However, the phenomenology of such theories is not…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas P. Sotiriou , Stefano Liberati

A metric-affine approach is employed to study higher-dimensional modified gravity theories involving different powers and contractions of the Ricci tensor. It is shown that the field equations are \emph{always} second-order, as opposed to…

高能物理 - 理论 · 物理学 2015-08-28 D. Bazeia , L. Losano , Gonzalo J. Olmo , D. Rubiera-Garcia , A. Sanchez-Puente

In this paper, we find Kerr solution accompanied with a nontrivial vector field as a solution to one of the simplest vector-tensor theories of gravity, namely the bumblebee model with an intriguing coupling constant between the Ricci…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Rui Xu , Zhan-Feng Mai , Dicong Liang

This paper is devoted to the Hamiltonian analysis of bimetric gravity in vierbein formulation. We identify all constraints and determine their nature. We also show an existence of additional constraint so that the scalar mode can be…

高能物理 - 理论 · 物理学 2015-06-16 J. Kluson

The Bumblebee vector model of spontaneous Lorentz symmetry breaking (LSB) in Bianchi type I (BI) Universe to observe its effect on cosmological evolution is an interesting aspect of study in anisotropic cosmology. In this study, we have…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Pranjal Sarmah , Umananda Dev Goswami

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first order…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

We develop a relativistic treatment of interference between light reflected from a falling cube retroreflector in the vertical arm of an interferometer, and light in a reference beam in the horizontal arm. Coordinates that are nearly…

地球物理 · 物理学 2018-01-17 Neil Ashby

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute spacetime), we find, for a specific gravitational Lagrangian and by using {\it prolongation} techniques, a stationary axially…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Peter Baekler , Friedrich W. Hehl

We put into test the idea of replacing dark energy by a vector field against the cosmic microwave background (CMB) observation using the simplest vector-tensor theory, where a massive vector field couples to the Ricci scalar and the Ricci…

广义相对论与量子宇宙学 · 物理学 2026-01-21 Rui Xu , Dandan Xu , Lars Andersson , Pau Amaro Seoane , Lijing Shao

In this paper we construct a family of ways in which matter can couple to one or more `metrics'/spin-2 fields in the vielbein formulation. We do so subject to requiring the weak equivalence principle and the absence of ghosts from pure…

高能物理 - 理论 · 物理学 2015-01-21 Johannes Noller , Scott Melville

The method of variational bootstrapping, based on canonical variational completion, allows one to construct a Lagrangian for a physical theory depending on two sets of field variables, starting from a guess of the field equations for only…

广义相对论与量子宇宙学 · 物理学 2025-06-17 Ludovic Ducobu , Nicoleta Voicu

The gravitational effective average action is studied in a bimetric truncation with a nontrivial background field dependence, and its renormalization group flow due to a scalar multiplet coupled to gravity is derived. Neglecting the metric…

高能物理 - 理论 · 物理学 2011-03-04 Elisa Manrique , Martin Reuter , Frank Saueressig

Starting from an affinely connected space, we consider a model of gravity whose fundamental field is the connection. We build up the action using as sole premise the invariance under diffeomorphisms, and study the consequences of a…

广义相对论与量子宇宙学 · 物理学 2020-04-08 Oscar Castillo-Felisola , Jose Perdiguero , Oscar Orellana , Alfonso R. Zerwekh

Recently, theoretical studies on the bumblebee gravity model, a nonminimally-coupled vector-tensor theory that violates the Lorentz symmetry, have flourished, with a simultaneous increase in the utilization of observations to impose…

广义相对论与量子宇宙学 · 物理学 2024-11-26 Peixiang Ji , Zhuhai Li , Lirui Yang , Rui Xu , Zexin Hu , Lijing Shao

We find a class of electrically charged exact solutions for a toy model of metric-affine gravity. Their metric is of the Pleba\'nski-Demia\'nski type and their nonmetricity and torsion are represented by a triplet of covectors with…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Friedrich W. Hehl , José Socorro

We consider the most general Quadratic Metric-Affine Gravity setup in the presence of generic matter sources with non-vanishing hypermomentum. The gravitational action consists of all $17$ quadratic invariants (both parity even and odd) in…

广义相对论与量子宇宙学 · 物理学 2022-05-18 Damianos Iosifidis

Effective field theory methods allow us to modify general relativity through higher-curvature corrections to the Einstein-Hilbert action, while preserving Lorentz invariance and the number of gravitational degrees of freedom. We here…

广义相对论与量子宇宙学 · 物理学 2024-07-18 Haoyang Liu , Nicolás Yunes