The minimal geometric deformation approach was introduced in order to study the exterior spacetime around spherically symmetric self-gravitating systems, such as stars or similar astrophysical objects, 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 that is potentially useful to describe stars in the brane-world is also presented.
The minimal geometric deformation approach extended / Casadio, R; Ovalle, J; da Rocha, Roldão. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - ELETTRONICO. - 32:21(2015), pp. 215020.1-215020.16. [10.1088/0264-9381/32/21/215020]
The minimal geometric deformation approach extended
CASADIO, ROBERTO;
2015
Abstract
The minimal geometric deformation approach was introduced in order to study the exterior spacetime around spherically symmetric self-gravitating systems, such as stars or similar astrophysical objects, 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 that is potentially useful to describe stars in the brane-world is also presented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.