Searching Exact Solutions for Compact Stars in Braneworld: a conjecture

Abstract

In the context of the braneworld, a method to find consistent solutions to Einstein's field equations in the interior of a spherically symmetric, static and non uniform stellar distribution with Weyl stresses is developed. This method, based in the fact that any braneworld stellar solution must have the general relativity solution as a limit, produces a constraint which reduces the degrees of freedom on the brane. Hence the non locality and non closure of the braneworld equations can be overcome. The constraint found is physically interpreted as a necessary condition to regain general relativity, and a particular solution for it is used to find an exact and physically acceptable analytical internal solution to no-uniform stellar distributions on the brane. It is shown that such an exact solution is possible due to the fact that bulk corrections to pressure, density and a metric component are a null source of anisotropic effects on the brane. A conjecture is proposed about the possibility of finding physically relevant exact solutions to non-uniform stellar distributions on the brane.

24 pages; a new section with a regular solution; to appear in Modern Phys. Lett. A

References in corpus (40)

• An Alternative to Compactification
• 4D Gravity on a Brane in 5D Minkowski Space
• The Einstein Equations on the 3-Brane World
• Brane cosmological evolution in a bulk with cosmological constant
• Brane-world gravity
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Gravity in the Randall-Sundrum Brane World
• Black holes on the brane
• Brane-World Black Holes
• Cosmological dynamics on the brane
• Stars in the braneworld
• Brane World Cosmology
• Charged Rotating Black Holes on a 3-Brane
• Dilaton-gravity on the brane
• Gravitational collapse on the brane: a no-go theorem
• Evolution of Cosmological Models in the Brane-world Scenario
• A general class of braneworld wormholes
• Braneworld black holes in cosmology and astrophysics
• Relativistic Stars in Randall-Sundrum Gravity
• Evolution of cosmological perturbations in a brane-universe
• Black Hole Solutions in Braneworlds with Induced Gravity
• Cosmological perturbations in the bulk and on the brane
• Braneworld stars and black holes
• Density perturbations in the brane-world
• Gravitational Field Equations on and off a 3-Brane World
• Collapsing sphere on the brane radiates
• Brane-world cosmology with black strings
• Gravitational collapse of null fluid on the brane
• Strong Brane Gravity and the Radion at Low Energies
• On-brane data for braneworld stars
• Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk
• Dynamics of Brane-World Cosmological Models
• The Generalized Dark Radiation and Accelerated Expansion in Brane Cosmology
• Geometry and dynamics of the brane-world
• Brane Cosmological Evolution With Bulk Matter
• Spherically symmetric problem on the brane and galactic rotation curves
• Braneworld gravitational collapse from a radiative bulk
• Stars on branes: the view from the brane
• Gravity on branes
• No Swiss-cheese universe on the brane

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