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Applying the junction conditions to the slowly rotating Kerr spacetime with a thin shell, we find that while the angular momentum $L$ and Carter constant $C$ of the ray remain unchanged upon crossing the shell, its energy $E$ does not.…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Long-Yue Li , Li-Ming Cao , Yungui Gong , Xia-Yuan Liu , Wenting Zhou

We investigate maximally symmetric brane world solutions with a scalar field. Five-dimensional bulk gravity is described by a general lagrangian which yields field equations containing no higher than second order derivatives. This includes…

High Energy Physics - Theory · Physics 2009-11-10 Christos Charmousis , Stephen C. Davis , Jean-Francois Dufaux

With a view toward the problem of computing the linearized cosmological perturbations in Randall-Sundrum cosmological models where a Z2 symmetry has been imposed about a boundary brane, we derive the form of the linearized Israel matching…

High Energy Physics - Theory · Physics 2009-11-10 Martin Bucher , Carla Carvalho

In spacetimes of dimension greater than four it is natural to consider higher order (in R) corrections to the Einstein equations. In this letter generalized Israel junction conditions for a membrane in such a theory are derived. This is…

High Energy Physics - Theory · Physics 2009-11-07 Stephen C. Davis

We present the generic junction conditions obeyed by a co-dimension one brane in an arbitrary background spacetime. As well as the usual Darmois-Israel junction conditions which relate the discontinuity in the extrinsic curvature to the to…

High Energy Physics - Theory · Physics 2009-11-07 R. A. Battye , B. Carter

We obtain an approximate analytical solution for the ground state of a bulk scalar field with a double-well potential in the Randall-Sundrum brane world background, in a situation where the boundary conditions rule out a constant field…

High Energy Physics - Theory · Physics 2009-11-10 Alan Knapman , David J. Toms

We consider the dimensional reduction of a bulk scalar field in the Randall-Sundrum model. By allowing the scalar field to be non-minimally coupled to the spacetime curvature we show that it is possible to generate spontaneous symmetry…

High Energy Physics - Theory · Physics 2009-10-31 A. Flachi , D. J. Toms

We examine several different types of five dimensional stationary spacetimes with bulk scalar fields and parallel 3-branes. We study different methods for avoiding the appearance of spacetime singularities in the bulk for models with and…

High Energy Physics - Theory · Physics 2009-11-07 Eanna E. Flanagan , S. -H. Henry Tye , Ira Wasserman

This work deals with braneworld models driven by real scalar fields with nonstandard dynamics. We develop the first-order formalism for models with standard gravity but with the scalar fields having generalized dynamics. We illustrate the…

High Energy Physics - Theory · Physics 2009-01-29 D. Bazeia , A. R. Gomes , L. Losano , R. Menezes

Disformal theories of gravity are scalar-tensor theories where the scalar couples derivatively to matter via the Jordan frame metric. These models have recently attracted interest in the cosmological context since they admit accelerating…

General Relativity and Quantum Cosmology · Physics 2015-11-04 Hiu Yan Ip , Jeremy Sakstein , Fabian Schmidt

We compute the boundary terms and junction conditions for Horndeski's panoptic class of scalar-tensor theories, and write the bulk and boundary equations of motion in explicitly second order form. We consider a number of special subclasses,…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Antonio Padilla , Vishagan Sivanesan

The Casimir effect due to conformally coupled bulk scalar fields on background of conformally flat brane-world geometries is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , M. R. Setare

This work sets up a general theoretical framework to study stability of models with a warped extra dimension where N scalar fields couple minimally to gravity. Our analysis encompasses Randall-Sundrum models with branes and bulk scalars,…

High Energy Physics - Theory · Physics 2011-10-07 S. Mert Aybat , Damien P. George

Recent developments in the physics of extra dimensions have opened up new avenues to test such theories. We review cosmological aspects of brane world scenarios such as the Randall--Sundrum brane model and two--brane systems with a bulk…

High Energy Physics - Theory · Physics 2008-11-26 Philippe Brax , Carsten van de Bruck , Anne--Christine Davis

The radion equilibrium in the Randall-Sundrum (RS) model is guaranteed by the back-reaction of a bulk scalar field. In this paper we study an extended scenario, where an intermediate brane exists in addition to the two branes at the fixed…

High Energy Physics - Theory · Physics 2022-04-18 Haiying Cai

We consider the problem of a scalar field, non-minimally coupled to gravity through a $-\xi\phi^{2}R$ term, in the presence of a Brane. Exact solutions, for a wide range of values of the coupling parameter $\xi$, for both $\phi$-dependent…

High Energy Physics - Theory · Physics 2008-11-26 C. Bogdanos , A. Dimitriadis , K. Tamvakis

Generalizations of the Randall-Sundrum model containing a bulk scalar field $\Phi$ interacting with the curvature $R$ through the general coupling $R f(\Phi)$ are considered. We derive the general form of the effective 4D potential for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Grzadkowski , J. F. Gunion

We reformulate the Randall-Sundrum (RS) model on the compactified AdS by adding a term proportional to the area of the boundary to the usual gravity action with a negative cosmological constant and show that gravity can still be localized…

High Energy Physics - Theory · Physics 2010-02-03 N. S. Deger , A. Kaya

In this work, we study the junction conditions of the ghost-free subclass of quadratic Poincar\'e Gauge gravity, which propagates one scalar and one pseudo-scalar. For this purpose, we revisit the theory of distributions and junction…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Adrián Casado-Turrión , Álvaro de la Cruz-Dombriz , Alejandro Jiménez-Cano , Francisco José Maldonado Torralba

The presence of scalar fields with non-minimal gravitational interactions of the form $\xi |\phi|^2 R$ may have important implications for the physics of the early universe. While many studies solve the dynamics of non-minimally coupled…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Daniel G. Figueroa , Adrien Florio , Toby Opferkuch , Ben A. Stefanek