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This comment contains a suggestion for a slight modification of Israel's covariant formulation of junction conditions between two spacetimes, placing both sides on equal footing with normals having uniquely defined orientations. The signs…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. S. Goldwirth , J. Katz

The junction conditions for the infinite derivative gravity theory ${R{+}RF(\Box)R}$ are derived under the assumption that the conditions can be imposed by avoiding the `ill-defined expressions' in the theory of distributions term by term…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Ivan Kolář , Francisco José Maldonado Torralba , Anupam Mazumdar

In this work, we study 5-dimensional braneworld scenarios in the scalar-tensor representation of the generalized hybrid metric-Palatini gravitational theory. We start by considering a model for a brane supported purely by the gravitational…

General Relativity and Quantum Cosmology · Physics 2021-01-19 João Luís Rosa , Douglas A. Ferreira , Dionisio Bazeia , Francisco S. N. Lobo

We discuss a general fourth-order theory of gravity on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as Gauss-Bonnet term) leads to the higher powers of the delta function and…

High Energy Physics - Theory · Physics 2008-11-26 Adam Balcerzak , Mariusz P. Dabrowski

Using "smooth brane" solutions of the field equations, we give an alternative derivation of the junction conditions for a "brane" in a five dimensional "bulk", when gravity is governed by the Einstein Lanczos (Gauss-Bonnet) equations.

General Relativity and Quantum Cosmology · Physics 2010-11-11 Nathalie Deruelle , Cristiano Germani

A set of consistency conditions is derived from Einstein equations for brane world scenarios with a spatially periodic internal space. In particular, the sum of the total tension of the flat branes and the non-negative integral of the…

High Energy Physics - Theory · Physics 2009-10-31 Gary Gibbons , Renata Kallosh , Andrei Linde

As an extension of our previous study, we derive slow-roll conditions for multiple scalar fields which are non-minimally coupled with gravity and for generalized gravity theories of the form $f(\phi,R)$. We provide simple formulae of the…

Astrophysics · Physics 2009-11-18 Takeshi Chiba , Masahide Yamaguchi

We derive dynamical equations to describe a single 3-brane containing fluid matter and a scalar field coupling to the dilaton and the gravitational field in a five dimensional bulk. First, we show that a scalar field or an arbitrary fluid…

High Energy Physics - Theory · Physics 2012-10-23 Timon Boehm , Ruth Durrer , Carsten van de Bruck

This work deals with thick braneworld models, in an environment where the Ricci scalar is changed to accommodate the addition of two extra terms, one depending on the Ricci scalar itself, and the other, which takes into account the trace of…

High Energy Physics - Theory · Physics 2015-03-02 D. Bazeia , A. S. Lobao , R. Menezes

In this article, we develop the formalism for singular hypersurfaces and junction conditions in generalized coupling theories using a variational approach. We then employ this formalism to examine the behavior of sharp matter density…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Justin C. Feng , Shinji Mukohyama , Sante Carloni

We present our recent work on brane world models with a non-minimally coupled scalar field. In [9] we examined the stability of these models against scalar field perturbations and we discussed possible physical implications, while in [10]…

High Energy Physics - Theory · Physics 2007-05-23 K. Farakos , P. Pasipoularides

We derive the most general junction conditions for the fourth-order brane gravity constructed of arbitrary functions of curvature invariants. We reduce these fourth-order theories to second order theories at the expense of introducing new…

High Energy Physics - Theory · Physics 2010-12-09 Adam Balcerzak , Mariusz P. Dabrowski

Bulk antisymmetric tensor fields of different ranks have been studied in the context of a generalized Randall-Sundrum model with a non-vanishing induced cosmological constant on the visible brane. It is shown that instead of the usual…

High Energy Physics - Theory · Physics 2011-04-05 Ashmita Das , Soumitra SenGupta

We consider real and complex scalar fields non-minimally coupled to gravity in the bulk spacetime and study their impact on the brane upon acquiring a non-vanishing vacuum expectation value. When examining the case of the complex scalar…

High Energy Physics - Theory · Physics 2008-11-26 Orfeu Bertolami , Carla Carvalho

We consider the familiar junction conditions described by Israel for thin timelike walls in Einstein-Hilbert gravity. One such condition requires the induced metric to be continuous across the wall. Now, there are many spacetimes with…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Donald Marolf , Sho Yaida

We examine the moduli dynamics of a specific class of supergravity-inspired BPS braneworlds, clarifying the role of bulk scalar fields in brane collisions. The model contains as a special case the Randall-Sundrum model both with and without…

High Energy Physics - Theory · Physics 2007-05-23 S. L. Webster , A. C. Davis

We consider a generalised two brane Randall-Sundrum model with non-zero cosmological constant on the visible TeV brane. Massive Kaluza-Klein modes for various bulk fields namely graviton, gauge field and antisymmetric second rank…

High Energy Physics - Theory · Physics 2010-01-07 Joydip Mitra , Soumitra SenGupta

We consider the possibility of Higgs mechanism in the bulk in a generalised Randall-Sundrum model, where a nonvanishing cosmological constant is induced on the visible brane. This scenario has the advantage of accommodating positive tension…

High Energy Physics - Phenomenology · Physics 2010-04-06 Paramita Dey , Biswarup Mukhopadhyaya , Soumitra SenGupta

We analyze a class of 5D models where a 3 brane is generated by a bulk scalar field non minimally coupled to gravity. We show that perturbative stability of such branes is normally guaranteed although non minimal couplings are not innocuous…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Andrianov , Luca Vecchi

In this work we derive the junction conditions for the matching between two spacetimes at a separation hypersurface in the perfect-fluid version of $f\left(R,T\right)$ gravity, not only in the usual geometrical representation but also in a…

General Relativity and Quantum Cosmology · Physics 2021-06-02 João Luís Rosa