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The Einstein initial-value equations in the extrinsic curvature (Hamiltonian) representation and conformal thin sandwich (Lagrangian) representation are brought into complete conformity by the use of a decomposition of symmetric tensors…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , James W. York

We show that gravity and matter fields are generically entangled, as a consequence of the local Poincar\'e symmetry. First, we present a general argument, applicable to any particular theory of quantum gravity with matter, by performing the…

General Relativity and Quantum Cosmology · Physics 2018-08-31 Nikola Paunkovic , Marko Vojinovic

We present general features of the transverse densities of the stress-energy-momentum tensor $\Theta^{\mu\nu}$ in the pion. We show positivity of the transverse density of $\Theta^{++}$ (analogous to the positivity of the transverse density…

High Energy Physics - Phenomenology · Physics 2025-08-13 Wojciech Broniowski , Enrique Ruiz Arriola

We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Haiyuan Feng , Laiyuan Su , Rong-Jia Yang , Wei-Qiang Chen

The gravitational energy-momentum within a small region as determined by two tetrad-teleparallel expressions is evaluated with the aid of an orthonormal frame adapted to Riemann normal coordinates. We find that the gauge current "tensor"…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lau Loi So , James M. Nester

We consider the most general Quadratic Metric-Affine Gravity setup in the presence of generic matter sources with non-vanishing hypermomentum. The gravitational action consists of all $17$ quadratic invariants (both parity even and odd) in…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Damianos Iosifidis

Metric theories of gravity are studied, beginning with a general action that is quadratic in curvature and allows infinite inverse powers of the d'Alembertian operator, resulting in infrared non-local extensions of general relativity. The…

High Energy Physics - Theory · Physics 2015-06-22 Aindriu Conroy , Tomi Koivisto , Anupam Mazumdar , Ali Teimouri

Bulk supergravity on a manifold with boundary must be supplemented by boundary conditions that preserve local supersymmetry. This "downstairs" picture has certain advantages over the equivalent "upstairs" picture, expressed in terms of…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan Bagger , Dmitry V. Belyaev

In this paper we investigate whether conserved currents can be sensibly defined in supersymmetric minisuperspaces. Our analysis deals with k=1 FRW and Bianchi class--A models. Supermatter in the form of scalar supermultiplets is included in…

General Relativity and Quantum Cosmology · Physics 2009-10-28 P. V. Moniz

We use the idea of the symmetry between the spacetime coordinates x^\mu and the energy-momentum p^\mu in quantum theory to construct a momentum space quantum gravity geometry with a metric s_{\mu\nu} and a curvature P^\lambda_{\mu\nu\rho}.…

General Relativity and Quantum Cosmology · Physics 2016-03-08 J. W. Moffat

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

By adopting a local QFT framework one can derive in a non-perturbative manner the constraints imposed by Poincar\'e symmetry on the form factors appearing in the Lorentz covariant decomposition of the energy-momentum tensor matrix elements.…

High Energy Physics - Theory · Physics 2020-01-09 Peter Lowdon , Sabrina Cotogno , Cédric Lorcé

We study how a strong gravity affects the equation of state of matters. For this purpose, we employ a canonical ensemble of classical monoatomic ideal gas inside a box in a Rindler spacetime. The total energy decreases monotonically with…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Hyeong-Chan Kim , Chueng-Ryong Ji

We study a noncommutative deformation of general relativity where the gravitational field is described by a matrix-valued symmetric two-tensor field. The equations of motion are derived in the framework of this new theory by varying a…

General Relativity and Quantum Cosmology · Physics 2011-02-17 Guglielmo Fucci , Ivan G. Avramidi

A large number of particle species allows to formulate quantum gravity in a special double-scaling limit, the species limit. In this regime, quantum gravitational amplitudes simplify substantially. An infinite set of perturbative…

High Energy Physics - Theory · Physics 2021-03-30 Gia Dvali

We analyse the stability issue of the vector and axial modes of the torsion and nonmetricity tensors around general backgrounds in the framework of cubic Metric-Affine Gravity. We show that the presence of cubic order invariants defined…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Sebastian Bahamonde , Jorge Gigante Valcarcel

The problem of construction of a continuous (macroscopic) matter model for a given point-like (microscopic) matter distribution in general relativity is formulated. The existing approaches are briefly reviewed and a physical analogy with…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Giovanni Montani , Remo Ruffini , Roustam Zalaletdinov

In the continuum the Bianchi identity implies a relationship between different components of the curvature tensor, thus ensuring the internal consistency of the gravitational field equations. In this paper an exact form for the Bianchi…

General Relativity and Quantum Cosmology · Physics 2009-11-07 H. W. Hamber , G. Kagel

We analyze the asymptotic solutions of Chiral Gravity (Topologically Massive Gravity at \mu l = 1 with Brown-Henneaux boundary conditions) focusing on non-Einstein metrics. A class of such solutions admits curvature singularities in the…

High Energy Physics - Theory · Physics 2014-11-21 Geoffrey Compère , Sophie de Buyl , Stéphane Detournay

This paper is devoted to investigate the exact solutions of Bianchi type $I$ spacetime in the context of $f(R,T)$ gravity [1], where $f(R,T)$ is an arbitrary function of Ricci scalar $R$ and trace of the energy momentum tensor $T$. For this…

General Relativity and Quantum Cosmology · Physics 2015-06-30 M. Farasat Shamir