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A manifestly gauge invariant formulation of the coupling of the Maxwell theory with an Einstein Cartan geometry is given, where the space time torsion originates from a massless Kalb-Ramond field augmented by suitable U(1) Chern Simons…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Parthasarathi Majumdar , Soumitra SenGupta

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Simon J. Clark , Robin W. Tucker

In the framework of the teleparallel equivalent of general relativity, we study the dynamics of a gravitationally coupled electromagnetic field. It is shown that the electromagnetic field is able not only to couple to torsion, but also,…

广义相对论与量子宇宙学 · 物理学 2009-10-30 V. C. de Andrade , J. G. Pereira

We describe the effect of the gravitational $\Theta$-parameter on the behavior of the stretched horizon of a black hole in $(3+1)$-dimensions. The gravitational $\Theta$-term is a total derivative, however, it affects the transport…

高能物理 - 理论 · 物理学 2016-12-20 Willy Fischler , Sandipan Kundu

We investigate physical implications of a gravitational analog of axion electrodynamics with a parity-violating gravitoelectromagnetic theta term. This is related to the Nieh-Yan topological invariant in gravity with torsion, in contrast to…

广义相对论与量子宇宙学 · 物理学 2022-05-18 Athanasios Chatzistavrakidis , Georgios Karagiannis , George Manolakos , Peter Schupp

Possible geometric frameworks for a unified theory of gravity and electromagnetism are investigated: General relativity is enlarged by allowing for an arbitrary complex linear connection and by constructing an extended spinor derivative…

高能物理 - 理论 · 物理学 2007-05-23 Kenichi Horie

The cosmological propagation of tensor perturbations is studied in the context of parity-violating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Aindriú Conroy , Tomi Koivisto

We consider a possible (parity conserving) interaction between the electromagnetic field $F$ and a torsion field $T^\alpha$ of spacetime. For generic elementary torsion, gauge invariant coupling terms of lowest order fall into two classes…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yakov Itin , Friedrich W. Hehl

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

广义相对论与量子宇宙学 · 物理学 2021-09-02 Viktor T. Toth

One obtains a Maxwell-like structure of gravitation by applying the weak-field approximation to the well accepted theory of general relativity or by extending Newton's laws to time-dependent systems. This splits gravity in two parts, namely…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Tajmar , C. J. de Matos

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a…

高能物理 - 理论 · 物理学 2011-08-17 Biswarup Mukhopadhyaya , Soumitra Sengupta

We discuss the relation between the gravitational and electromagnetic fields as governed by the Einstein-Maxwell field equations. It is emphasized that the tendency of the gravitational field to induce electromagnetic effects increases as…

广义相对论与量子宇宙学 · 物理学 2008-02-21 Kjell Rosquist

In the presence of an electromagnetic (EM) field the space-time metrics are affected by the field potential. The principle of superposition, which usually rules EM fields, is no longer valid for the biggest fields and Maxwell's equations,…

综合物理 · 物理学 2023-12-27 Pierre Marx

In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and non null nonmetricity…

数学物理 · 物理学 2012-07-03 Waldyr A. Rodrigues

Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the…

广义相对论与量子宇宙学 · 物理学 2024-02-07 Claus Lammerzahl , Sebastian Ulbricht

Linearized general relativity admits a formulation in terms of gravitoelectric and gravitomagnetic fields that closely parallels the description of the electromagnetic field by Maxwell's equations. For steady mass currents, this formalism…

广义相对论与量子宇宙学 · 物理学 2010-07-01 John Swain

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

广义相对论与量子宇宙学 · 物理学 2020-01-09 Murat Özer

Using the weak field approximation, we can express the theory of general relativity in a Maxwell-type structure comparable to electromagnetism. We find that every electromagnetic field is coupled to a gravitoelectric and gravitomagnetic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Tajmar , C. de Matos

Due to its underlying gauge structure, teleparallel gravity achieves a separation between inertial and gravitational effects. It can, in consequence, describe the isolated gravitational interaction without resorting to the equivalence…

广义相对论与量子宇宙学 · 物理学 2009-11-11 R. Aldrovandi , L. C. T. Guillen , J. G. Pereira , K. H. Vu
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