Conformally flat anisotropic spheres in general relativity

By L. Herrera, A. Prisco, J. Ospino, E. Fuenmayor. 2001

161 citations recorded by the source corpus.

The condition for the vanishing of the Weyl tensor is integrated in the spherically symmetric case. Then, the resulting expression is used to find new, conformally flat, interior solutions to Einstein equations for locally anisotropic fluids. The slow evolution of these models is contrasted with the evolution of models with similar energy density or radial pressure distribution but nonvanishing Weyl tensor, thereby bringing out the different role played by the Weyl tensor, the local anisotropy of pressure, and the inhomogeneity of the energy density in the collapse of relativistic spheres.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5f1f864d0a6caffa7a0ebd779381b3939431556a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Anisotropic stars in general relativity (2001, methodology): “Then, the resulting expression is used by Herrera et al. (2001) to find new, conformally flat, interior solutions to Einstein equations for locally anisotropic fluid.”