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We discuss a framework for quantum fields in curved spacetimes that possess a stress energy tensor as a connection one form on a suitable moduli space of metrics. In generic spacetimes the existence of such a tensor is thought to be a…

Mathematical Physics · Physics 2026-05-05 Alexander Strohmaier

A general prescription for constructing quasi-local conserved quantities in General Relativity is proposed. The construction is applied to BMS symmetry generators in Newman-Unti gauge, so as to define quasi-local BMS charges. It is argued…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Henk Bart

A recent generalization of the Hawking-Hayward quasilocal energy to scalar-tensor gravity is adapted to general spherically symmetric geometries. It is then applied to several black hole and other spherical solutions of scalar-tensor and…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Andrea Giusti , Valerio Faraoni

The quasilocal energy associated with a constant stationary time slice of the Kerr spacetime is presented. The calculations are based on a recent proposal \cite{by} in which quasilocal energy is derived from the Hamiltonian of spatially…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Erik A. Martinez

We discuss the concepts of energy and mass in relativity. On a finitely extended spatial region, they lead to the notion of quasilocal energy/mass for the boundary 2-surface in spacetime. A new definition was found in [27] that satisfies…

General Relativity and Quantum Cosmology · Physics 2012-11-08 Mu-Tao Wang

An `effective' quasi-local energy expression, motivated by the (relativistically corrected) Newtonian theory, is introduced in exact GR as the volume integral of all the source terms in the field equation for the Newtonian potential in…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Jörg Frauendiener , László B Szabados

A discrete space-time structure lying at about the Planck scale may become manifest in the form of very small violations of the conservation of the matter energy-momentum tensor. In order to include such kind of violations, forbidden within…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-15 Susana J. Landau , Micol Benetti , Alejandro Perez , Daniel Sudarsky

We investigate the properties of rotating asymptotically flat black ring solutions in five-dimensional Einstein-Maxwell-dilaton gravity with the Kaluza-Klein coupling. Within the quasilocal formalism, the balance condition for these…

High Energy Physics - Theory · Physics 2011-05-09 Zhen-Xing Liu , Ze-Qian Chen

We investigate the thermodynamical and causal consistency of cosmological models of the cubic Quasi-Topological Gravity (QTG) in four dimensions, as well as their phenomenological consequences. Specific restrictions on the maximal values of…

General Relativity and Quantum Cosmology · Physics 2013-04-16 U. Camara dS , A. A. Lima , G. M. Sotkov

We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without…

General Relativity and Quantum Cosmology · Physics 2015-05-18 J. L. Jaramillo , E. Gourgoulhon

We define quasi-local conserved quantities in general relativity by using the optimal isometric embedding in [26] to transplant Killing fields in the Minkowski spacetime back to the 2-surface of interest in a physical spacetime. To each…

Differential Geometry · Mathematics 2019-12-06 Po-Ning Chen , Mu-Tao Wang , Shing-Tung Yau

Whether energy is conserved in a universe which keeps expanding is an intriguing question. It is tempting to argue that the total energy within the universe would have to increase as the universe expands. Upon more detailed inspection the…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Bjoern S. Schmekel

In this note, using the quasilocal formalism of Brown and York, the flow of energy through a closed surface containing a gravitating physical system is calculated in a way that augments earlier results on the subject by Booth and Creighton.…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Albert Huber

We investigate a quasi-local energy naturally introduced by Kodama's prescription for a spherically symmetric space-time with a positive cosmological constant $\Lambda$. We find that this quasi-local energy is well behaved inside a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ken-ichi Nakao

In the framework of the quasigroup approach to conservation laws in general relativity, we show how the infinite-parametric Newman-Unti group of asymptotic symmetries can be reduced to the Poincare quasigroup. We compute Noether's charges…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Alfonso Zack Robles , Alexander I. Nesterov , Claudia Moreno

The form of the energy-momentum tensor when a quasimonochromatic field propagates into and through an antireflection-coated, sourceless, transparent, continuous, linear magneto-dielectric medium, initially at rest in the local frame,…

Optics · Physics 2022-11-21 Michael E. Crenshaw

In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , N. Bostani , A. Sheykhi

A finite and unitary nonlocal formulation of quantum gravity is applied to the cosmological constant problem. The entire functions in momentum space at the graviton-standard model particle loop vertices generate an exponential suppression…

General Relativity and Quantum Cosmology · Physics 2016-02-08 J. W. Moffat

This article reviews some aspects of local covariance and of the ambiguities and anomalies involved in the definition of the stress energy tensor of quantum field theory in curved spacetime. Then, a summary is given of the approach proposed…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Rainer Verch

The masses of the elementary particles as well as their charges and spins belong to the fundamental physical constants. Presently, no fundamental theory describing them is available, so their values remain mysterious. In this work we offer…

General Physics · Physics 2023-12-04 Bjoern S. Schmekel
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