New interpretation of the extended geometric deformation in isotropic coordinates
Departamento de Física, Universidad de Antofagasta, Apto 02800, Antofagasta, Chile
Accepted: 15 July 2021
Published online: 11 August 2021
We study the particular case in which extended geometric deformation does consists of consecutive deformations of temporal and spatial components of the metric, in Schwarzschild-like and isotropic coordinates. In the latter, we present two inequivalent ways to perform this two-step GD. This was done in such a way that the method may be applied to different seed solutions. As an example, we use Tolman IV as seed solution, in order to obtain two inequivalent physical solutions with anisotropy in the pressures in Schwarzschild-like coordinates. In the isotropic sector, we obtained four different solutions with anisotropy in the pressures that satisfies physical acceptability conditions, using Gold III as seed solution.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021