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Related papers: Gravitational Cheshire effect: Nonminimally couple…

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The gravitational Cheshire effect refers to the possibility of turning off the gravitational field while still leaving an imprint of the nonminimal coupling of matter to gravity. This allows nontrivial solutions in flat spacetime for which…

High Energy Physics - Theory · Physics 2025-03-14 Eloy Ayón-Beato , Mokhtar Hassaine , Pedro A. Sánchez

Performing a relativistic approximation as the generalization to a curved spacetime of the flat space Klein-Gordon equation, an effective Hamiltonian which includes non-minimial coupling between gravity and scalar field and also quartic…

General Relativity and Quantum Cosmology · Physics 2009-02-16 Emine Mese , Nurettin Pirinccioglu , Irfan Acikgoz , Figen Binbay

Static spherically symmetric uncoupled scalar space-times have no event horizon and a divergent Kretschmann singularity at the origin of the coordinates. The singularity is always present so that non-static solutions have been sought to see…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

We study interacting scalar field theory non-minimally coupled to gravity in the FRW background. We show that for a specific choice of interaction terms, the energy-momentum tensor of the scalar field vanishes, and as a result the scalar…

High Energy Physics - Theory · Physics 2008-11-26 Nabamita Banerjee , Rajeev Kumar Jain , Dileep P. Jatkar

On the non-minimal coupling of Riemann-flat Klein-Gordon Fields to Space-time torsion} The energy spectrum of Klein-Gordon particles is obtained via the non-minimal coupling of Klein-Gordon fields to Cartan torsion in the approximation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A…

High Energy Physics - Theory · Physics 2009-10-22 David G. Boulware

We study the nonminimally coupled complex scalar field within the framework of teleparallel gravity. Coupling of the field nonminimally to the torsion scalar destroys the Lorentz invariance of the theory in the sense that the resulting…

General Relativity and Quantum Cosmology · Physics 2015-02-18 Dubravko Horvat , Sasa Ilijic , Anamarija Kirin , Zoran Narancic

It has been shown that if one solves self-consistently the semiclassical Einstein equations in the presence of a quantum scalar field, with a cutoff on the number of modes, spacetime become flatter when the cutoff increases. Here we extend…

High Energy Physics - Theory · Physics 2025-04-01 Renata Ferrero , Vincenzo Naso , Roberto Percacci

This paper investigates wave-equations on spacetimes with a metric which is locally analytic in the time. We use recent results in the theory of the non-characteristic Cauchy problem to show that a solution to a wave-equation vanishing in…

Mathematical Physics · Physics 2007-05-23 Alexander Strohmaier

We consider a scalar field action for which the Lagrangian density is a power of the massless Klein-Gordon Lagrangian. The coupling of gravity to this matter action is considered. In this case, we show the existence of nontrivial scalar…

High Energy Physics - Theory · Physics 2009-11-11 Mokhtar Hassaine

We study the self-compactification of extra dimensions via higher curvature gravity, f(R), where f(R) is the generic function of the Ricci scalar R. First, we reduce pure f(R) theory to a scalar-tensor theory by a conformal transformation.…

High Energy Physics - Theory · Physics 2011-02-16 Beyhan Pulice , Sukru Hanif Tanyildizi

We prove that semiclassical gravity in conformally static, globally hyperbolic spacetimes with a massless, conformally coupled Klein-Gordon field is well posed, when viewed as a coupled theory for the dynamical conformal factor of the…

Mathematical Physics · Physics 2022-11-28 Benito A. Juárez-Aubry , Sujoy K. Modak

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Tekin Dereli , Özcan Sert

All the classes of static massless scalar field models available currently in the Einstein theory of gravity necessarily contain a strong curvature naked singularity. We obtain here a family of solutions for static massless scalar fields…

General Relativity and Quantum Cosmology · Physics 2011-06-28 Swastik Bhattacharya , Pankaj S. Joshi

In 1981 Wyman classified the solutions of the Einstein--Klein--Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Edgardo Franzin , Ivica Smolić

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Manuel Gonzalez-Espinoza , Y. Gómez-Leyton , Z. Stuchlik , Francisco Tello-Ortiz

It is well known that the Klein-Gordon equation in curved spacetime is conformally noninvariant, both with and without a mass term. We show that such a noninvariance provides nontrivial physical insights at different levels, first within…

General Relativity and Quantum Cosmology · Physics 2021-12-16 F. Hammad , P. Sadeghi , N. Fleury , A. Leblanc

In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Behnaz Fazlpour

We investigate the stability of a free scalar field nonminimally coupled to gravity under linear perturbations in the spacetime of a charged spherical shell. Our analysis is performed in the context of quantum field theory in curved…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Jessica Santiago , Andre G. S. Landulfo , William C. C. Lima , George E. A. Matsas , Raissa F. P. Mendes , Daniel A. T. Vanzella
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