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arXiv · 1503.02873

The Minimal Geometric Deformation Approach Extended

Roberto Casadio·Jorge Ovalle·Roldao da Rocha
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Abstract

The minimal geometric deformation approach was introduced in order to study the exterior space-time around spherically symmetric self-gravitating systems, like stars or similar astrophysical objects as well, in the Randall-Sundrum brane-world framework. A consistent extension of this approach is developed here, which contains modifications of both the time component and the radial component of a spherically symmetric metric. A modified Schwarzschild geometry is obtained as an example of its simplest application, and a new solution potentially useful to describe stars in the brane-world is also presented.

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Roberto Casadio, Jorge Ovalle, Roldao da Rocha. 2015-03-10. The Minimal Geometric Deformation Approach Extended. https://doi.org/10.1088/0264-9381/32/21/215020

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