Asymmetric Swiss-cheese brane-worlds
arXiv:hep-th/0608195 · doi:10.1088/1475-7516/2007/07/007
Abstract
We study a brane-world cosmological scenario with local inhomogeneities represented by black holes. The brane is asymmetrically embedded into the bulk. The black strings/cigars penetrating the Friedmann brane generate a Swiss-cheese type structure. This universe forever expands and decelerates, as its general relativistic analogue. The evolution of the cosmological fluid however can proceed along four branches, two allowed to have positive energy density, one of them having the symmetric embedding limit. On this branch a future pressure singularity can arise for either (a) a difference in the cosmological constants of the cosmological and black hole brane regions (b) a difference in the left and right bulk cosmological constants. While the behaviour (a) can be avoided by a redefinition of the fluid variables, (b) establishes a critical value of the asymmetry over which the pressure singularity occurs. We introduce the pressure singularity censorship which bounds the degree of asymmetry in the bulk cosmological constant. We also show as a model independent generic feature that the asymmetry source term due to the bulk cosmological constant increases in the early universe. In order to obey the nucleosynthesis constraints, the brane tension should be constrained therefore both from below and from above. With the maximal degree of asymmetry obeying the pressure singularity censorship, the higher limit is 10 times the lower limit. The degree of asymmetry allowed by present cosmological observations is however much less, pushing the upper limit to infinity.
v2: considerably expanded, 19 pages, 8 figures, many new references. Pressure singularity censorship introduced, strict limits on the possible degree of asymmetry derived. v3: model independent analysis shows that the asymmetry bounds the brane tension from above. Limits on the maximal tension set. Version published in JCAP
References in corpus (46)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- Cosmological parameters from SDSS and WMAP
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- The Einstein Equations on the 3-Brane World
- Black Strings and p-Branes are Unstable
- Brane-world gravity
- Gravity in the Randall-Sundrum Brane World
- Black holes on the brane
- Chaotic inflation on the brane
- Brane-World Black Holes
- Dynamics of Anti-de Sitter Domain Walls
- Linearized Gravity in Brane Backgrounds
- Brane-world cosmology
- New Experimental Limits on Macroscopic Forces Below 100 Microns
- General brane cosmologies and their global spacetime structure
- Stars in the braneworld
- Charged Rotating Black Holes on a 3-Brane
- Fate of the Black String Instability
- Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
- New Cosmological Singularities in Braneworld Models
- Gravitational collapse on the brane: a no-go theorem
- Black string instabilities in anti-de Sitter space
- Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world
- Cosmology in the Randall-Sundrum Brane World Scenario
- Statefinders, higher-order energy conditions and sudden future singularities
- Black Hole Solutions in Braneworlds with Induced Gravity
- Collapsing sphere on the brane radiates
- Brane-world cosmology with black strings
- Generalized Friedmann branes
- Gravitational collapse of null fluid on the brane
- Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk
- Brane World Cosmology Without the Z_2 Symmetry
- Gravitational collapse and black hole evolution: do holographic black holes eventually "anti-evaporate"?
- Reflection symmetry breaking scenarios with minimal gauge form coupling in brane world cosmology
- Brane cosmological evolution with a general bulk matter configuration
- The Generalized Dark Radiation and Accelerated Expansion in Brane Cosmology
- Colliding Bubble Worlds
- Black holes and dark energy from gravitational collapse on the brane
- Asymmetric brane-worlds with induced gravity
- Gravitational collapse in braneworld models with curvature corrections
- Braneworld gravitational collapse from a radiative bulk
- Brane-world cosmological perturbations: a covariant approach
- Irradiated asymmetric Friedmann branes
- No Swiss-cheese universe on the brane