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We investigate energy correlators in four-dimensional gravitational theories, which provide a simple class of infrared-finite observables. We compute the one- and two-point energy correlators at one loop in $\mathcal{N}=8$ supergravity and…

High Energy Physics - Theory · Physics 2026-01-01 Dmitry Chicherin , Gregory P. Korchemsky , Emery Sokatchev , Alexander Zhiboedov

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

General Relativity and Quantum Cosmology · Physics 2008-03-13 Boris Hikin

The M$\o$ller tetrad gravitational energy-momentum expression was recently evaluated for a small vacuum region using orthonormal frames adapted to Riemann normal coordinates. However the result was not proportional to the Bel-Robinson…

General Relativity and Quantum Cosmology · Physics 2008-09-24 Lau Loi So

This is the first of three papers on the short-distance properties of the energy-momentum tensor in field theory. We study the energy-momentum tensor for renormalized field theory in curved space. We postulate an exact Ward identity of the…

High Energy Physics - Theory · Physics 2007-05-23 Hidenori Sonoda

A complete Lagrangian and Hamiltonian description of the theory of self-gravitating light-like matter shells is given in terms of gauge-independent geometric quantities. For this purpose the notion of an extrinsic curvature for a null-like…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jacek Jezierski , Jerzy Kijowski , Ewa Czuchry

On the basis of a non-local Lagrangian for Maxwell equations in a dispersive medium, the energy-momentum tensor of the field is derived. We obtain the Field equations through variational methods and an extension of Noether theorem for a…

Classical Physics · Physics 2021-05-12 Carlos Heredia , Josep Llosa

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

We propose a new theory of gravitation, in which the affine connection is the only dynamical variable describing the gravitational field. We construct the simplest dynamical Lagrangian density that is entirely composed from the connection,…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Nikodem Poplawski

In gravitation theory with a background metric, a gravitational field is described by a (1,1)-tensor field. The energy-momentum conservation law imposes a gauge condition on this field.

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Sardanashvily

By using variational calculus and exterior derivative formalism, we proposed in two previous joint papers with S. Siparov a new geometric approach for electromagnetism in pseudo-Finsler spaces. In the present paper, we provide more details,…

Mathematical Physics · Physics 2011-11-15 Nicoleta Voicu

Starting from the energy-momentum of matter and gravitational field in the framework of General Relativity and Teleparallel Gravity, we obtain the energy-momentum complex in flat FRW spacetime. We show that the complex vanishes at…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Habib Abedi , Amir M. Abbassi , Salvatore Capozziello

The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. We use Fermi coordinates and work to first order in the…

High Energy Physics - Theory · Physics 2014-11-18 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa

We study the properties of gravitational system in finite regions bounded by gravitational screens. We present the detail construction of the total energy of such regions and of the energy and momentum balance equations due to the flow of…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Laurent Freidel

The inspiral of binary systems in vacuum is controlled by the stress-energy of gravitational radiation and any other propagating degrees of freedom. For gravitational waves, the dominant contribution is characterized by an effective…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Leo C. Stein , Nicolas Yunes

The conserved quantities, that are, gravitational energy-momentum and its relevant quantities are investigated for cylindrical and spherical gravitational waves in the framework of teleparallel equivalent of General Relativity using the…

General Relativity and Quantum Cosmology · Physics 2010-03-04 M. Sharif , Sumaira Taj

Recently there are more and more interest on the gravitational wave of moving sources. This introduces a Lorentz transformation problem of gravitational wave. Although Bondi-Metzner-Sachs (BMS) theory has in principle already included the…

General Relativity and Quantum Cosmology · Physics 2023-02-16 Xiaokai He , Xiaolin Liu , Zhoujian Cao

The energy-momentum tensor of a ferromagnet derived according to the standard prescription of Noether's theorem has a major flaw: the term originating from the spin Berry phase is gauge-dependent. As a consequence, some physical quantities…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Sayak Dasgupta , Oleg Tchernyshyov

We examine the claim of Babak and Grishchuk [1] to have solved the problem of localising the energy and momentum of the gravitational field. After summarising Grishchuk's flat-space formulation of gravity, we demonstrate its equivalence to…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Luke M. Butcher , Anthony Lasenby , Michael Hobson

A dynamically preferred quasi-local definition of gravitational energy is given in terms of the Hamiltonian of a `2+2' formulation of general relativity. The energy is well-defined for any compact orientable spatial 2-surface, and depends…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Sean A. Hayward

In this paper, we establish a model-independent framework based on the Isaacson picture to analyze the gravitational-wave effects in the most general vector-tensor theory that yields second-order field equations. Within this framework, we…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Yu-Qi Dong , Xiao-Bin Lai , Yu-Qiang Liu , Yu-Xiao Liu