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We derive the low-energy effective action of four-dimensional gravity in the Randall-Sundrum scenario in which two 3-branes of opposite tension reside in a five-dimensional spacetime. The dimensional reduction with the Ansatz for the radion…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Takeshi Chiba

A complete and explicit classification of all locally constructed conserved currents and underlying conserved tensors is obtained for massless linear symmetric spinor fields of any spin s>0 in four dimensional flat spacetime. These results…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco , Juha Pohjanpelto

We report strong cosmological constraints on the Brans-Dicke (BD) theory of gravity using Cosmic Microwave Background data from Planck.We consider two types of models. First, the initial condition of the scalar field is fixed to give the…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-09 A. Avilez , C. Skordis

Bosons of spin 0 and 1, with different intrinsic parities, are described by full sets of spinor equations in the frame of the Dirac-Kahler theory. This enables us to obtain the conservation laws for the boson particles with one value of…

High Energy Physics - Theory · Physics 2007-05-23 N. G. Tokarevskaya , V. M. Red'kov

The Abraham--Minkowski momentum controversy is the outwardly visible symptom of an inconsistency in the use of the energy-momentum tensor in the case of a plane quasimonochromatic field in a simple linear dielectric. We show that the Gordon…

Classical Physics · Physics 2012-11-09 Michael E. Crenshaw

The Minkowski tensors are valuations on the space of convex bodies in ${\mathbb R}^n$ with values in a space of symmetric tensors, having additional covariance and continuity properties. They are extensions of the intrinsic volumes, and as…

Metric Geometry · Mathematics 2016-05-04 Daniel Hug , Rolf Schneider

We present a new class of magnetic brane solutions in $(n+1)$-dimensional Brans-Dicke-Maxwell theory in the presence of a quadratic potential for the scalar field. These solutions are neither asymptotically flat nor (anti)-de Sitter. Our…

High Energy Physics - Theory · Physics 2010-11-04 A. Sheykhi , E. Ebrahimi

We introduce surface Minkowski tensors to characterize rotational symmetries of shapes embedded in curved surfaces. The definition is based on a modified vector transport of the shapes boundary co-normal into a reference point which…

Numerical Analysis · Mathematics 2026-02-10 Lea Happel , Hanne Hardering , Simon Praetorius , Axel Voigt

We consider $f\left(R\right) $-gravity in a Friedmann-Lema\^itre-Robertson-Walker spacetime with zero spatial curvature. We apply the Killing tensors of the minisuperspace in order to specify the functional form of $f\left(R\right) $ and…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andronikos Paliathanasis

Kossowski and Kriele derived boundary conditions on the metric at a surface of signature change. We point out that their derivation is based not only on certain smoothness assumptions but also on a postulated form of the Einstein field…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Tevian Dray , Charles Hellaby

We present the four-dimensional equations on a brane with a scalar field non-minimally coupled to the induced Ricci curvature, embedded in a five-dimensional bulk with a cosmological constant. This is a natural extension to a brane-world…

High Energy Physics - Theory · Physics 2009-11-10 Mariam Bouhmadi-Lopez , David Wands

The equivalence between f(R) gravity and scalar-tensor theories is invoked to study the null, strong, weak and dominant energy conditions in Brans-Dicke theory. We consider the validity of the energy conditions in Brans-Dicke theory by…

General Relativity and Quantum Cosmology · Physics 2009-08-25 K. Atazadeh , A. Khaleghi , H. R. Sepangi , Y. Tavakoli

We consider Brans Dicke scalar vector tensor gravity to study an inflationary scenario of the accelerating expansion of the universe for which the anisotropy property occurs. We study both primordial inflation and late inflationary period…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Hossein Ghaffarnejad , Hoda Gholipour

In this paper we study the isotropisation of a Generalized Scalar-Tensor theory with a massive scalar field. We find it depends on a condition on the Brans-Dicke coupling function and the potential and show that asymptotically the metric…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stephane Fay

Minkowski space is a physically important space-time for which the finding an adequate holographic description is an urgent problem. In this paper we develop further the proposal made in hep-th/0303006 for the description as a duality…

High Energy Physics - Theory · Physics 2009-09-29 Sergey N. Solodukhin

Energy minimizing BPS equations and solutions are obtained for a class of models in Maxwell-scalar theory, where an abelian electric charge is immersed in an effective dielectric of a real scalar field. The first order BPS equations are…

High Energy Physics - Theory · Physics 2022-02-09 J. R. Morris

We construct a cosmological scalar-tensor-theory model in which the Brans-Dicke type scalar $\Phi$ enters the effective (Jordan-frame) Hubble rate as a simple modification of the Hubble rate of the $\Lambda$CDM model. This allows us to…

General Relativity and Quantum Cosmology · Physics 2016-12-07 W. C. Algoner , H. E. S. Velten , W. Zimdahl

The scalar-spinor interaction Lagrangian is presented by the Yukawa potential. In dS ambient space formalism, the interaction Lagrangian of scalar-spinor fields was obtained from a new transformation which is very similar to the guage…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Y. Ahmadi

In this work, we develop a q-deformed scalar-tensor theory of gravitation by combining Verlinde's entropic gravity paradigm with statistical deformation effects. The resulting model modifies the Brans-Dicke framework through a deformation…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Salih Kibaroğlu , Mustafa Senay

Inspired by a similar analysis for the vacuum conformal Einstein field equations by Paetz [Ann. H. Poincar\'e 16, 2059 (2015)], in this article we show how to construct a system of quasilinear wave equations for the geometric fields…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Diego A. Carranza , Adem E. Hursit , Juan A. Valiente Kroon
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