Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation

Abstract

We consider a solution of the effective four-dimensional brane-world equations, obtained from the General Relativistic Schwarzschild metric via the principle of Minimal Geometric Deformation, and investigate the corresponding signatures stemming from the possible existence of a warped extra dimension. In particular, we derive bounds on an extra-dimensional parameter, closely related with the fundamental gravitational length, from the experimental results of the classical tests of General Relativity in the Solar system.

6 pages, slightly improved, to appear in Europhysics Letters

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• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Brane-world stars with solid crust and vacuum exterior
• Non-uniform Braneworld Stars: an Exact Solution
• Black string corrections in variable tension braneworld scenarios
• Notes on the Two-brane Model with Variable Tension
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Cited by in corpus (3)

• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Stability of the graviton Bose-Einstein condensate in the brane-world
• Quadratic curvature terms and deformed Schwarzschild-de Sitter black hole analogues in the laboratory