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Recent observations of the luminosity-red shift relation of distant type Ia supernovae established the fact that the expansion of the universe is accelerated. This is interpreted by saying that there exists some kind of agent (called dark…

General Relativity and Quantum Cosmology · Physics 2009-11-23 Sergio L. Cacciatori

The concept of definability of quantum fields in a set-theoretical foundation is introduced. We propose an axiomatic set theory and then derive a nonlinear sigma model and the Schroedinger equation in a Lagrangian form; this follows…

General Physics · Physics 2009-04-30 D. J. Bendaniel

We study particle decay in de Sitter space-time as given by first order perturbation theory in a Lagrangian interacting quantum field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the "phase space"…

High Energy Physics - Theory · Physics 2014-11-18 Jacques Bros , Henri Epstein , Ugo Moschella

It has been shown by one of the authors$^1$ that in isotropic spherical coordinates there is a relation between the mass of a static spherical gravitating body and the pressure distribution inside it. In this paper the result is generalized…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. M. Avakian , G. Oganessyan

The challenges posed by the development of field theories, both classical and quantum, force us to question their most basic and foundational ideas like the role and origin of space-time, the meaning of physical states, etc. Among them the…

Mathematical Physics · Physics 2025-06-19 Alberto Ibort , Arnau Mas , Luca Schiavone

We present a survey of rigourous quantization results obtained in recent works on quantum free fields in de Sitter space. For the "massive'' cases which are associated to principal series representations of the de Sitter group SO\_0(1,4),…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Pierre Gazeau , Marc Lachièze-Rey

We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of non-linear matter coupled to gravity e.g.…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Peter C. Aichelburg , Christiane Lechner

We show that global de Sitter space is unstable to particle creation, even for a massive free field theory with no self-interactions. The O(4,1) de Sitter invariant state is a definite phase coherent superposition of particle and…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Paul R. Anderson , Emil Mottola

We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the…

High Energy Physics - Theory · Physics 2009-11-07 Hassan Firouzjahi , Frederic Leblond

The effective field theory of dark energy and modified gravity is supposed to well describe, at low energies, the behaviour of the gravity modifications due to one extra scalar degree of freedom. The usual curvature perturbation is very…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

The center of mass and spin for isolated sources of gravitational radiation that move at relativistic speeds are defined. As a first step, we also present these definitions in flat space. This contradicts some general wisdom given in…

General Relativity and Quantum Cosmology · Physics 2020-01-15 C. N. Kozameh , J. I. Nieva , G. D. Quiroga

I review and update ideas about the quantum theory of de Sitter space. New results include a quantum relation between energy and entropy of states in the causal patch, which is satisfied by small dS black holes. I also discuss the…

High Energy Physics - Theory · Physics 2007-05-23 T. Banks

Mass of singularity is defined, and its relation to whether the singularity is spacelike, timelike or null is discussed for spherically symmetric spacetimes. It is shown that if the mass of singularity is positive (negative) the singularity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tatsuhiko Koike , Hisashi Onozawa , Masaru Siino

I argue against the widespread notion that manifest de Sitter invariance on the full de Sitter manifold is either useful or even attainable in gauge theories. Green's functions and propagators computed in a de Sitter invariant gauge are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. P. Woodard

The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormalizable have led to a search for a new theory of gravity that,…

Mathematical Physics · Physics 2013-12-06 Timothy D. Andersen

We consider the strong-coupling phase in a model of $O(N)$ spin-2 field theory in de Sitter spacetime and the effective mass of spin-2 fields therein. In the strong-coupling phase, the Higuchi bound limits the mass parameter in the theory.…

High Energy Physics - Theory · Physics 2023-12-05 Nahomi Kan , Kiyoshi Shiraishi

Within the scope of a spherically symmetric space-time we study the role of a nonlinear spinor field in the formation of different configurations with spherical symmetries. The presence of the non-diagonal components of energy-momentum…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Bijan Saha

Different forms of the metric for the Kerr-NUT-(anti-)de Sitter space-time are being widely used in its extension to higher dimensions. The purpose of this note is to relate the parameters that are being used to the physical parameters…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Griffiths , J. Podolsky

This paper discusses fundamental physical interactions starting from two preliminary assumptions. (a) Although mass of gravity and mass of inertia are equivalent quantities in their measured values, they are qualitatively not identical…

General Physics · Physics 2018-09-12 György Darvas

Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective…

High Energy Physics - Theory · Physics 2012-12-13 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya