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We show that it is possible to obtain credible static anisotropic spherically symmetric matter configurations starting from known density profiles and satisfying a nonlocal equation of state. These particular types of equation of state…

General Relativity and Quantum Cosmology · Physics 2015-06-25 H. Hernandez , L. A. Nunez

A variational formulation is given for a theory of gravity coupled to a massive vector in four dimensions, with Asymptotically Lifshitz boundary conditions on the fields. For theories with critical exponent z=2 we obtain a well-defined…

High Energy Physics - Theory · Physics 2011-11-08 Robert Mann , Robert McNees

The generalized noncommutative Heisenberg algebra, which is based on the generalized uncertainty principle, imposes a minimal length uncertainty on quantum mechanics (QM), on one hand. On the other hand, the quantum-induced spacetime which…

General Relativity and Quantum Cosmology · Physics 2026-05-26 A. Tawfik , Saleh O. Allehabi , A. A. Alshehri , M. Nasar , M. Maher

We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N=2 superconformal…

High Energy Physics - Theory · Physics 2020-12-08 Songyuan Li , Jan Troost

A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Wolfgang Wieland

We study asymptotically flat space-times in 3 dimensions for Einstein gravity near future null infinity and show that the boundary is described by Carrollian geometry. This is used to add sources to the BMS gauge corresponding to a…

High Energy Physics - Theory · Physics 2017-01-06 Jelle Hartong

Calculations of the Casimir energy for spherical geometries which are based on integrations of the stress tensor are critically examined. It is shown that despite their apparent agreement with numerical results obtained from mode summation…

High Energy Physics - Theory · Physics 2009-10-31 C. R. Hagen

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

The purpose of the classical Einstein and Landau-Lifshitz pseudotensors is for determining the gravitational energy. Neither of them can guarantee a positive energy in holonomic frames. In the small sphere approximation, it has been…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Lau Loi So

Apart from the familiar structure firmly-rooted in the general relativistic field equations where the energy--momentum tensor has a null divergence i.e., it conserves, there exists a considerable number of extended theories of gravity…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Hermano Velten , Thiago R. P. Caramês

We study a recently proposed horizon defining identity for certain black hole spacetimes. It relates the difference of the Brown-York quasilocal energy and the Komar charge at the horizon to the total energy of the spacetime. The Brown-York…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sukanta Bose , Naresh Dadhich

We study the limit of quasilocal energy defined in [7] and [8] for a family of spacelike 2-surfaces approaching null infinity of an asymptotically flat spacetime. It is shown that Lorentzian symmetry is recovered and an energy-momentum…

Differential Geometry · Mathematics 2015-05-18 PoNing Chen , Mu-Tao Wang , Shing-Tung Yau

An asymptotically planar AdS spacetimes is characterized by its ADM mass and tensions. We define an additional ADM charge Q associated with the scaling Killing vector of AdS, show that Q is given by a certain sum over the ADM mass and…

High Energy Physics - Theory · Physics 2015-06-15 Basem Mahmoud El-Menoufi , Benjamin Ett , David Kastor , Jennie Traschen

Owing to its transformation property under local boosts, the Brown-York quasilocal energy surface density is the analogue of E in the special relativity formula: E^2-p^2=m^2. In this paper I will motivate the general relativistic version of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard J. Epp

General relativity is the theory with unclear energy momentum tensor. An approach is considered, allowing to construct the energy momentum tensor for relativity with nonsymmetric metric. A consequence of the approach is confirmed in the…

General Physics · Physics 2016-10-21 Boris V. Gisin

In a previous article [Phys. Rev. D 82 104040 (2010)], we derived an energy-momentum tensor for linear gravity that exhibited positive energy density and causal energy flux. Here we extend this framework by localizing the angular momentum…

General Relativity and Quantum Cosmology · Physics 2012-10-03 Luke M. Butcher , Anthony Lasenby , Michael Hobson

We introduce the surface term for quasitopological gravity in order to make the variational principle of the action well-defined. We also introduce the charged black branes of quasitopological gravity and calculate the finite action through…

High Energy Physics - Theory · Physics 2011-11-03 M. H. Dehghani , M. H. Vahidinia

Moller's tetrad gravitational energy-momentum "tensor" is evaluated for a small vacuum region using an orthonormal frame adapted to Riemann normal coordinates. We find that it does satisfy the highly desired property of being a positive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lau Loi So , James M. Nester

We study the previously proposed quasilocal angular momentum of gravitational fields in the absence of isometries. The quasilocal angular momentum $L(\xi)$ has the following attractive properties; ({\it i}) it follows from the Einstein's…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Jong Hyuk Yoon , Seung Hun Oh

We present positive energy theorems in asymptotically translationally invariant spacetimes which can be applicable to black strings and charged branes. We also address the bound property of the tension and charge of branes.

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tetsuya Shiromizu , Daisuke Ida , Shinya Tomizawa