We construct a covariant version of the Tolman-Oppenheimer-Volkoff equations in the case of isotropic sources. The new equations make evident the mathematical problems in the determination of interior solutions of relativistic stellar objects. Using a reconstruction algorithm, we find two physically interesting generalizations of previously known stellar interior solutions. The variables that we use also allow an easier formulation of known generating theorems for solutions associated to relativistic stellar objects.
Covariant Tolman-Oppenheimer-Volkoff equations. I. The isotropic case / Carloni, S.; Vernieri, D.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 97:12(2018). [10.1103/PhysRevD.97.124056]
Covariant Tolman-Oppenheimer-Volkoff equations. I. The isotropic case
Vernieri D.
2018
Abstract
We construct a covariant version of the Tolman-Oppenheimer-Volkoff equations in the case of isotropic sources. The new equations make evident the mathematical problems in the determination of interior solutions of relativistic stellar objects. Using a reconstruction algorithm, we find two physically interesting generalizations of previously known stellar interior solutions. The variables that we use also allow an easier formulation of known generating theorems for solutions associated to relativistic stellar objects.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.