SEARCHING EXACT SOLUTIONS FOR COMPACT STARS IN BRANEWORLD: A CONJECTURE
By J. Ovalle. 2007
155 citations recorded by the source corpus.
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 on 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 nonlocality 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 regarding the possibility of finding physically relevant exact solutions to non-uniform stellar distributions on the brane.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b5730a1c4f934ff968d1ee3486e8601a3b3dbc59
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In Astronomy and Astrophysics
- Diego Rubiera-García
- Aneta Wojnar
- R. Casadio
- A. Sotomayor
- R. Rocha
- J. Ovalle
- G. Olmo
- Valerio Faraoni
In Nuclear and High Energy Physics
- Diego Rubiera-García
- Aneta Wojnar
- R. Casadio
- A. Sotomayor
- R. Rocha
- J. Ovalle
- G. Olmo
- Valerio Faraoni
Citations in the corpus
- The minimal geometric deformation approach extended (2015, unknown): “Moreover, the RS model contains a free parameter, the brane tension σ, which allows one to restrain this prominent aspect by precisely setting the scale of high energy physics [12].”
- Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “This entails the existence of new matching conditions at the stellar surface departing from the GR one, and which do not have a unique solution on the brane [339].”
- Anisotropic solutions by gravitational decoupling (2017, background): “The MGD was originally proposed [2,3] in the context of the Randall–Sundrum brane-world [4,5] and extended to investigate new black hole solutions [6,7] (for some earlier work on MGD, see for instance Refs.”