# Conformal symmetries in warped manifolds

@inproceedings{Apostolopoulos2005ConformalSI, title={Conformal symmetries in warped manifolds}, author={P. Apostolopoulos and J. Carot}, year={2005} }

The existence of a Conformal Vector Field (CVF) is studied in the important class of warped manifolds of arbitrary dimension generalizing in this way the corresponding results of the four dimensional geometries. As a concrete example we apply the geometric results in the case of brane-world scenarios when the bulk geometry admits a hypersurface orthogonal Killing Vector Field (KVF) and is filled with a perfect fluid matter content.

#### 11 Citations

Hessian Tensor and Standard Static Space-times

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- 2006

In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry… Expand

Symmetries of f−associated standard static spacetimes and applications

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- 2017

Abstract The purpose of this note is to study and explore some collineation vector fields on standard static spacetimes I f × M (also called f − associated SSST). Conformal vector fields, Ricci and… Expand

Conformal Vector Fields on Doubly Warped Product Manifolds and Applications

- Physics, Mathematics
- 2015

This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci… Expand

2-Killing vector fields on warped product manifolds

- Mathematics
- 2014

This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson–Walker space-times. Some… Expand

On symmetries of generalized Robertson-Walker spacetimes and applications

- Physics, Mathematics
- 2017

ABSTRACT The purpose of the present article is to study and characterize several types of symmetries of generalized Robertson-Walker spacetimes. Conformal vector fields, curvature and Ricci… Expand

A note on sequential warped product manifolds

- Mathematics
- 2015

In this note, we introduce the notion of sequential warped product manifolds, to construct a wide variety of warped product manifolds and space-times. First we derive covariant derivative formulas… Expand

Investigation on some classes of warped product manifolds

- Mathematics
- 2017

In the literature we see that after introducing a geometric structure by imposing some restrictions on Riemann–Christoffel curvature tensor, the same type structures given by imposing same… Expand

Isometric embeddings in cosmology and astrophysics

- Physics
- 2011

Recent interest in higher-dimensional cosmological models has prompted some significant work on the mathematical technicalities of how one goes about embedding spacetimes into some higher-dimensional… Expand

Killing Vector Fields of Standard Static Space-times

- Mathematics, Physics
- 2008

We consider Killing vector fields on standard static space-times and obtain equations for a vector field on a standard static space-time to be Killing. We also provide a characterization of Killing… Expand

The generalized dark radiation and accelerated expansion in brane cosmology

- Physics
- 2006

Abstract The effective Friedman equation describing the evolution of the brane Universe in the cosmology of the Randall–Sundrum model includes a dark (or mirage or Weyl) radiation term. The brane… Expand

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