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We extend de la Fuente and Romero's defining equation for uniform acceleration in a general curved spacetime from linear acceleration to the full Lorentz covariant uniform acceleration. In a flat spacetime background, we have explicit…

广义相对论与量子宇宙学 · 物理学 2016-02-10 Yaakov Friedman , Tzvi Scarr

In Einstein's general relativity, geometry replaces the concept of force in the description of the gravitation interaction. Such an approach rests on the universality of free-fall--the weak equivalence principle--and would break down…

广义相对论与量子宇宙学 · 物理学 2016-11-09 R. Aldrovandi , J. G. Pereira , K. H. Vu

We prove two theorems which imply that any stationary nonlinear electromagnetic field obeying a dominant energy condition in a strictly stationary, everywhere regular, asymptotically flat spacetime must be either trivial or a stealth field.…

广义相对论与量子宇宙学 · 物理学 2022-01-27 Ana Bokulić , Tajron Jurić , Ivica Smolić

New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is proposed. It differs from the standard, gauge-dependent, first order Lagrangian by boundary terms only. A new method of deriving…

经典物理 · 物理学 2015-06-26 D. Chruscinski , J. Kijowski

We consider the equation of motion in the gravity sector that arises from the non-linear realisation of the semi-direct product of E11 and its first fundamental representation, denoted by l1, in four dimensions. This equation is first order…

高能物理 - 理论 · 物理学 2014-11-05 Peter West

In general relativity, Maxwell's equations are embedded in curved spacetime through the minimal prescription, but this could change if strong-gravity modifications are present. We show that with a nonminimal coupling between gravity and a…

广义相对论与量子宇宙学 · 物理学 2019-02-27 Lorenzo Annulli , Vitor Cardoso , Leonardo Gualtieri

We show that in theories of generalised teleparallel gravity, whose Lagrangians are algebraic functions of the usual teleparallel Lagrangian, the action and the field equations are not invariant under local Lorentz transformations. We also…

广义相对论与量子宇宙学 · 物理学 2012-07-04 Baojiu Li , Thomas P. Sotiriou , John D. Barrow

Building upon the methods used recently, we establish the inexistence of self-gravitating solitonic solutions for both static and strictly stationary asymptotically flat spacetimes in generalised axion electrodynamics. This is an…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Carlos A. R. Herdeiro , João M. S. Oliveira

We propose a novel framework that interprets the electromagnetic field as a manifestation of spacetime pseudo-curvature, bridging electromagnetism with the geometric principles of general relativity. By introducing modified field equations,…

经典物理 · 物理学 2025-04-17 Faik Bouhrik , Tiju Thomas

The first theorem states that all flat space-time gravitational theories must have a Lagrangian with a first term that is an homogeneous (degree-I) function of the 4-velocity $u^i$, plus a functional of $\eta_{ij}u^i u^j$. The second…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Mario Castagnino , Luis Chimento

The effect of modifying General Relativity with the addition of some higher dimensional operators, generalizations of the Goroff-Sagnotti operator, is discussed. We determine in particular, the general solution of the classical equations of…

广义相对论与量子宇宙学 · 物理学 2023-01-27 Enrique Álvarez , Jesus Anero , Eduardo Velasco-Aja

We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are…

高能物理 - 理论 · 物理学 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Sayaka Sekiya

In this paper, the generic part of the gauge theory of gravity is derived, based merely on the action principle and on the general principle of relativity. We apply the canonical transformation framework to formulate geometrodynamics as a…

广义相对论与量子宇宙学 · 物理学 2026-01-01 J. Struckmeier , J. Muench , D. Vasak , J. Kirsch , M. Hanauske , H. Stoecker

We propose a picture for the UV properties of Galileon field theories. We conjecture that Galileons, and all theories incorporating the Vainshtein mechanism, fall into Jaffe's class of `non-localizable' field theories characterized by an…

高能物理 - 理论 · 物理学 2015-02-20 Luke Keltner , Andrew J. Tolley

We develop a gauge theory of the combined gravitational-electromagnetic field by expanding the Poincar\'e group to include clock synchronization transformations. We show that the electromagnetic field can be interpreted as a local gauge…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Robert D. Bock

In a class of generalized Einstein's gravity theories we derive the equations and general asymptotic solutions describing the evolution of the perturbed universe in unified forms. Our gravity theory considers general couplings between the…

广义相对论与量子宇宙学 · 物理学 2009-10-28 J. Hwang

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

数学物理 · 物理学 2010-02-17 D. M. Gitman , V. G. Kupriyanov

In this note we demonstrate the equation of motion for test particles in an ambient gravitational field for the teleparallel theory of gravity, considered as a generalized gauge theory, using a computational scheme due to Feynman. It can be…

高能物理 - 理论 · 物理学 2011-04-21 S. Fabi , G. S. Karatheodoris

We explore the new physics phenomena of gravidynamics governed by the inhomogeneous spin gauge symmetry based on the gravitational quantum field theory. Such a gravidynamics enables us to derive the generalized Einstein equation and an…

广义相对论与量子宇宙学 · 物理学 2024-03-27 Yuan-Kun Gao , Da Huang , Yong-Liang Ma , Yong Tang , Yue-Liang Wu , Yu-Feng Zhou

Defining the generalized charge, potential, current and generalized fields as complex quantities where real and imaginary parts represent gravitation and electromagnetism respectively, corresponding field equation, equation of motion and…

综合物理 · 物理学 2015-05-28 A. S. Rawat , O. P. S. Negi