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From a covariant Hamiltonian formulation, using symplectic ideas, we obtain covariant quasilocal energy-momentum boundary expressions for general gravity theories. The expressions depend upon which variables are fixed on the boundary, a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Chiang-Mei Chen , James M. Nester , Roh Suan Tung

In the present paper we consider special classes of tensor-multi-scalar theories of gravity whose target-space metric admits Killing field(s) with a periodic flow. For such tensor-multi-scalar theories we show that if the dynamics of the…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Stoytcho S. Yazadjiev , Daniela D. Doneva

We study a gravity theory where a scalar field with potential, beyond its minimal coupling, is also coupled through a non-minimal derivative coupling with the torsion scalar which is the teleparallel equivalent of Einstein gravity. This…

High Energy Physics - Theory · Physics 2015-10-14 Georgios Kofinas

The energy of gravitating systems has been an issue since Einstein proposed general relativity: considered to be ill defined, having no proper local density. Energy-momentum is now regarded as \emph{quasi-local} (associated with a closed…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Chiang-Mei Chen , Jian-Liang Liu , James M. Nester

We define a new gauge independent quasi-local mass and energy, and show its relation to the Brown-York Hamilton-Jacobi analysis. A quasi-local proof of the positivity, based on spacetime harmonic functions, is given for admissible closed…

Differential Geometry · Mathematics 2023-09-07 Aghil Alaee , Marcus Khuri , Shing-Tung Yau

In general relativity, quasi-local energy-momentum expressions have been constructed from various formulae. However, Newtonian theory of gravity gives a well known and an unique quasi-local mass expression (surface integration). Since…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu-Huei Wu , Chih-Hung Wang

The notions of mass and range of a Brans-Dicke-like scalar field in scalar-tensor and f(R) gravity are subject to an ambiguity that hides a potential trap. We spell out this ambiguity and identify a physically meaningful and practical…

General Relativity and Quantum Cosmology · Physics 2009-09-09 Valerio Faraoni

We present the first example of a unitary theory of Lorentz-invariant massive gravity, with all degrees of freedom propagating on a strictly homogeneous and isotropic, self-accelerating de Sitter background. The theory is a simple extension…

High Energy Physics - Theory · Physics 2014-01-03 Antonio De Felice , Shinji Mukohyama

We investigate massive scalar perturbations and several characteristics of particle motion in the spacetime of regular black holes arising in four-dimensional quasi-topological gravity. Quasinormal modes are computed using high-order WKB…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Bekir Can Lütfüoğlu

Models where the accelerated expansion of our Universe is caused by a quintessence scalar field are reviewed. In the framework of high energy physics, the physical nature of this field is discussed and its interaction with ordinary matter…

Astrophysics · Physics 2009-06-23 Jerome Martin

Using the third-order WKB approximation, we evaluate the quasinormal frequencies of massless scalar field perturbation around the black hole which is surrounded by the static and spherically symmetric quintessence. Our result shows that due…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Songbai Chen , Jiliang Jing

Theories with ingredients like the Higgs mechanism, gravitons, and inflaton fields rejuvenate the idea that relativistic kinematics is dynamically emergent. Eternal inflation treats the Hubble constant H as depending on location.…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Sascha Vongehr

Scalar-tensor theories are studied in the context of cosmological evolution, where the expansion history of the Universe is reconstructed. It is considered quintessence/phantom models, where inflation and cosmic acceleration are reproduced.…

High Energy Physics - Theory · Physics 2008-12-11 Diego Sáez-Gómez

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

We derive an expression for effective gravitational mass for any closed spacelike 2-surface. This effective gravitational energy is defined directly through the geometrical quantity of the freely falling 2-surface and thus is well adapted…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Keita Ikumi , Tetsuya Shiromizu

In the standard model the mass of elementary particles is considered as a dynamical property emerging from their interaction with the Higgs field. We show that this assumption implies peculiar deviations from the law of universal…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Roberto Onofrio

We present a toy model of a generic five-dimensional warped geometry in which the 4D graviton is not fully localized on the brane. Studying the tensor sector of metric perturbation around this background, we find that its contribution to…

High Energy Physics - Theory · Physics 2010-12-03 M. Shaposhnikov , P. Tinyakov , K. Zuleta

We study the properties of the Newtonian gravitational potential in a spherical Universe for different topologies. For this, we use the non-Euclidean Newtonian theory developed in Vigneron [2022, Class. & Quantum Gravity, 39, 155006]…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-04 Quentin Vigneron , Boudewijn F. Roukema

We study the magnitude of semiclassical gravity effects near the formation of a black-hole horizon in spherically-symmetric spacetimes. As a probe for these effects we use a quantised massless scalar field. Specifically, we calculate two…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Carlos Barceló , Valentin Boyanov , Raúl Carballo-Rubio , Luis J. Garay

Solutions of gravitational equations of gauge theories of gravity in homogeneous isotropic world with massive scalar field are investigated in the case of flat cosmological models. Special attention is dedicated to general behavior of…

Astrophysics · Physics 2009-11-07 G. V. Vereshchagin