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There exists some confusion, as evidenced in the literature, regarding the nature of the gravitational field in Einstein's General Theory of Relativity. It is argued here the this confusion is a result of a change in interpretation of the…

综合物理 · 物理学 2007-05-23 Peter M. Brown

Einstein's general relativity is the best available theory of gravity. In recent years, spectacular proofs of Einstein's theory have been conducted, which have aroused interest that goes far beyond the narrow circle of specialists. The aim…

科普物理 · 物理学 2024-01-18 Jorge Pinochet

We first consider the Lagrangian formulation of general relativity for perturbations with respect to a background spacetime. We show that by combining Noether's method with Belinfante's "symmetrization'' procedure we obtain conserved…

广义相对论与量子宇宙学 · 物理学 2015-06-25 A. N. Petrov , J. Katz

The careful analysis of the duality properties of Riemann's curvature tensor points to possibility of extension of Einstein's General Relativity to the nonabelian Yang-Mills theory. The motion equations of the theory are Yang-Mills'…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. L. Koshkarov

For the Yang-Mills-type gauge-field theory with Lorentz symmetry group, we propose and verify an explicit expression for the conserved currents in terms of the energy-momentum tensor. A crucial ingredient is the assumption that the gauge…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Hans Christian Öttinger

Cosmologies based on General Relativity encompassing an anti-symmetric connection (torsion) can display nice desirable features as the absence of the initial singularity and the possibility of inflation in the early stage of the universe.…

广义相对论与量子宇宙学 · 物理学 2018-12-12 Sergio Bravo Medina , Marek Nowakowski , Davide Batic

It is known that the curvature perturbation on uniform energy density (or comoving or uniform Hubble) slices on superhorizon scales is conserved to full nonlinear order if the pressure is only a function of the energy density (ie, if the…

宇宙学与河外天体物理 · 物理学 2011-03-18 Atsushi Naruko , Misao Sasaki

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

高能物理 - 理论 · 物理学 2025-08-14 Jordan Wilson-Gerow

Each approach to the quantum-gravity problem originates from expertise in one or another area of theoretical physics. The particle-physics perspective encourages one to attempt to reproduce in quantum gravity as much as possible of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Giovanni Amelino-Camelia

Theories of gravity invariant under those diffeomorphisms generated by transverse vectors, $\pd_\m\xi^\m=0$ are considered. Such theories are dubbed transverse, and differ from General Relativity in that the determinant of the metric, $g$,…

高能物理 - 理论 · 物理学 2010-12-17 Enrique Álvarez , Antón F. Faedo , J. J. López-Villarejo

We review recent work on the Einstein equations of general relativity when the curvature is defined in a weak sense. Weakly regular spacetimes are constructed, in which impulsive gravitational waves, as well as shock waves, propagate.

广义相对论与量子宇宙学 · 物理学 2011-08-09 Philippe G. LeFloch

The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies in Einstein gravity, is generalized up to quadratic order in spin -- for a pair of Kerr black holes revealing…

高能物理 - 理论 · 物理学 2022-10-05 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff

We present cosmological perturbation theory based on generalized gravity theories including string theory correction terms and a tachyonic complication. The classical evolution as well as the quantum generation processes in these variety of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 J. Hwang , H. Noh

A certain class of exact solutions of Einstein Maxwell spacetime in general relativity is discussed which demonstrates at the level of theory that, when certain parametric resonance condition is met, the interaction of electromagnetic field…

广义相对论与量子宇宙学 · 物理学 2023-10-24 Ruodi Yan , Yun Kau Lau

The field equations of general relativity can be derived from the Einstein action, which is quadratic in connection coefficients, rather than the standard action involving the Gibbons-Hawking-York term and counterterm. We show that it is…

广义相对论与量子宇宙学 · 物理学 2025-05-08 Martin Krššák

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Joao Magueijo , Lee Smolin

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

综合物理 · 物理学 2013-05-30 D. H. Sattinger

We describe a theory of gravitation on canonical noncommutative spacetimes. The construction is based on theta-twisted General Coordinate Transformations and Local Lorentz Invariance.

高能物理 - 理论 · 物理学 2010-10-27 Archil Kobakhidze

We propose general guidelines in order to incorporate the geometrical description of gravity in quantum field theory and address the problem of UV divergences non-perturbatively. In our aproach, each virtual particle in a Feynman graph…

广义相对论与量子宇宙学 · 物理学 2009-07-24 Roberto Casadio

We study how the changes of coordinates between the class of harmonic coordinates affect the analitycal solutions of Einstein's equations and we apply it to an analytical approach for stationary and axisymmetric solutions of Einstein…

广义相对论与量子宇宙学 · 物理学 2015-09-23 J. Martín , A. Molina , E. Ruiz