Geometry of deformations of branes in warped backgrounds
arXiv:hep-th/0512224 · doi:10.1088/0264-9381/23/7/021
Abstract
The `braneworld' (described by the usual worldvolume action) is a D dimensional timelike surface embedded in a N dimensional () warped, nonfactorisable spacetime. We first address the conditions on the warp factor required to have an extremal flat brane in a five dimensional background. Subsequently, we deal with normal deformations of such extremal branes. The ensuing Jacobi equations are analysed to obtain the stability condition. It turns out that to have a stable brane, the warp factor should have a minimum at the location of the brane in the given background spacetime. To illustrate our results we explicitly check the extremality and stability criteria for a few known co-dimension one braneworld models. Generalisations of the above formalism for the cases of (i) curved branes (ii) asymmetrical warping and (iii) higher co-dimension braneworlds are then presented alongwith some typical examples for each. Finally, we summarize our results and provide perspectives for future work along these lines.
arXiv comment21 pages. Version matching final version. Accepted for publication in Class. Quant. Grav
References in corpus (39)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Modeling the fifth dimension with scalars and gravity
- Brane cosmological evolution in a bulk with cosmological constant
- Locally Localized Gravity
- Brane-World Black Holes
- Supergravity Domain Walls
- Localized Gravitons, Gauge Bosons and Chiral Fermions in Smooth Spaces Generated by a Bounce
- Localization of Matters on a String-like Defect
- Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
- Thick Brane Worlds and Their Stability
- Inflation and Gauge Hierarchy in Randall-Sundrum Compactification
- Geometry of Deformations of Relativistic Membranes
- Scalar kinks and fermion localisation in warped spacetimes
- Gauge-invariant fluctuations of scalar branes
- Consistency Conditions for Brane Worlds in Arbitrary Dimensions
- Localizing gravity on exotic thick 3-branes
- Static Solutions for Brane Models with a Bulk Scalar Field
- Generalized Friedmann branes
- Locally Localized Gravity and Geometric Transitions
- Thick branes and Gauss-Bonnet self-interactions
- Dynamical Stability of Six-Dimensional Warped Brane-Worlds
- A novel braneworld model with a bulk scalar field
- Perturbations of a topological defect as a theory of scalar fields interacting with an external vector potential
- Localization of Fields on a Brane in Six Dimensions
- Covariant perturbations of domain walls in curved spacetime
- Large Deformations of Relativistic Membranes: A Generalization of the Raychaudhuri Equations
- Asymmetric brane-worlds with induced gravity
- Scalar normal modes of higher dimensional gravitating kinks
- Bulk phantom fields, increasing warp factors and fermion localisation
- Generalised Raychaudhuri equations for strings in the presence of an antisymmetric tensor field
- Single 3-Brane Brane-World in Six Dimension
- The Generalised Raychaudhuri Equations : Examples
- STRINGS IN A WORMHOLE BACKGROUND
- Gauge Fields, Scalars, Warped Geometry, and Strings
- Covariant Generalisation of Codazzi-Raychaudhuri and Area Change Equations for Relativistic Branes
- Focusing of timelike worldsheets in a theory of strings
Cited by in corpus (8)
- Finite-time Cosmological Singularities and the Possible Fate of the Universe
- Braneworlds in six dimensions: new models with bulk scalars
- Gravitating multidefects from higher dimensions
- Universal Features of Dimensional Reduction Schemes from General Covariance Breaking
- Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity
- Non-topological gravitating defects in five-dimensional anti-de Sitter space
- Covariant approach of perturbations in Lovelock type brane gravity
- Time-dependent gravitating solitons in five dimensional warped space-times