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We investigate static and spherically symmetric stars disformally coupled to a scalar field. The scalar field is assumed to be shift symmetric, and hence the conformal and disformal factors of the metric coupled to matter are dependent only…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Tact Ikeda , Aya Iyonaga , Tsutomu Kobayashi

The stability of the recently proposed static solutions for boson stars is analyzed. These solutions of Einstein-Klein-Gordon (EKG) equations arise from considering the interaction of a real scalar field with matter. We assume that the…

General Relativity and Quantum Cosmology · Physics 2021-01-14 D. S. Fontanella , A. Cabo

We study the dynamics of the field equations in a four-dimensional isotropic and homogeneous spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry in the context of Einstein-Gauss-Bonnet theory with a matter source and a…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Alfredo D. Millano , Genly Leon , Andronikos Paliathanasis

A new inequality for a nonlinear surface layer integral is proved for minimizers of causal variational principles. This inequality is applied to obtain a new proof of the positive mass theorem with volume constraint. Next, a positive mass…

Mathematical Physics · Physics 2025-03-03 Felix Finster , Niky Kamran

We present arguments for the existence of both globally regular and black hole solutions of the Einstein equations with a conformally coupled scalar field, in the presence of a negative cosmological constant, for space-time dimensions…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eugen Radu , Elizabeth Winstanley

We use the conformal method to obtain solutions of the Einstein-scalar field gravitational constraint equations. Handling scalar fields is a bit more challenging than handling matter fields such as fluids, Maxwell fields or Yang-Mills…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yvonne Choquet-Bruhat , James Isenberg , Daniel Pollack

Ibohal, Ishwarchandra and Singh proposed a class of exact, non-vacuum and conformally flat solutions of Einstein's equations whose stress tensor $T_{ab}$ has negative pressure. We show that $T_{ab}$ corresponds to an anisotropic fluid and…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Hristu Culetu

The present work is devoted to studying the background dynamical evolution of a scalar field in Einstein-Gauss-Bonnet gravity in maximally symmetric space-time. This study is useful for giving meaning to the presence of two Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-04-04 M. Bousder , Z Sakhi

We discuss the nature of quantum field theories involving gravity that are classically scale-invariant. We show that gravitational radiative corrections are crucial in the determination of the nature of the vacuum state in such theories,…

High Energy Physics - Theory · Physics 2015-03-18 Martin B. Einhorn , D. R. Timothy Jones

The problem of the quantum modes of the scalar free field on anti-de Sitter backgrounds with an arbitrary number of space dimensions is considered. It is shown that this problem can be solved by using the same quantum numbers as those of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ion I. Cotăescu

We apply the Effective Field Theory approach to General Relativity, introduced by Goldberger and Rothstein, to study point-like and string-like sources in the context of scalar-tensor theories of gravity. Within this framework we compute…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Umberto Cannella , Riccardo Sturani

Recent works by the second author and Maxwell et al. have shown that the Einstein-scalar field conformal constraint equations are highly complex and generally intractable, even in the vacuum case. In this article, to gain a clearer…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Philippe Castillon , Cang Nguyen-The

The phenomena customly described with the standard $\Lambda$CDM model are broadly reproduced by an extremely simple model in TeVeS, Bekenstein's (2004) modification of General Relativity motivated by galaxy phenomenology. Our model can…

Astrophysics · Physics 2008-11-26 HongSheng Zhao

Previously, a class of regular and asymptotically flat gravitating scalar solitons (scalarons) has been constructed in the Einstein--Klein--Gordon (EKG) theory by adopting a phantom field with Higgs-like potential where the kinetic term has…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Xiao Yan Chew , Kok-Geng Lim

We discuss radiation in theories with scalar fields. Our key observation is that even in flat spacetime, the radiative fields depend qualitatively on the coupling of the scalar field to the Ricci scalar: for non-minimally coupled scalars,…

High Energy Physics - Theory · Physics 2020-04-22 Bartomeu Fiol , Jairo Martínez-Montoya

We prove a Riemannian positive mass theorem for manifolds with a single asymptotically flat end, but otherwise arbitrary other ends, which can be incomplete and contain negative scalar curvature. The incompleteness and negativity is…

Differential Geometry · Mathematics 2021-03-05 Martin Lesourd , Ryan Unger , Shing-Tung Yau

By bearing the Komar's definition for the mass, together with the entropic origin of gravity in mind, we find the Einstein field equations in $(n+1$)-dimensional spacetime. Then, by reflecting the ($4+1$)-dimensional Einstein equations on…

High Energy Physics - Theory · Physics 2016-07-26 H. Moradpour , A. Sheykhi

An exact solution of Einstein - Maxwell - conformal scalar field equations is given, which is a black hole solution and has three parameters: scalar charge, electric charge, and magnetic charge. Switching off the magnetic charge parameter…

High Energy Physics - Theory · Physics 2009-10-28 K. S. Virbhadra , J. C. Parikh

We study the back reaction effect of massless minimally coupled scalar field at finite temperatures in the background of Einstein universe. Substituting for the vacuum expectation value of the components of the energy-momentum tensor on the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. B. Altaie , M. R. Setare

For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted…

Differential Geometry · Mathematics 2026-01-21 Simon Raulot
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