The object of the present paper is to study weakly B symmetric manifolds (WBS)n . At first some geometric properties of (WBS)n (n > 2) have been studied. Finally, we consider (WBS)4 spacetimes. They turn out to be both perfect and imperfect fluids Robertson-Walker space-times: an equation of state is provided in the first case, and in the second the nature of the bulk viscosity pressure is pointed out. Also, we construct an example of a (WBS)4 .

On weakly B symmetric pseudo Riemannian manifolds and its applications / C. Mantica, U. De, Y. Suh. - In: FILOMAT. - ISSN 0354-5180. - 35:3(2021), pp. 895-909. [10.2298/FIL2103895M]

On weakly B symmetric pseudo Riemannian manifolds and its applications

C. Mantica
Primo
;
2021

Abstract

The object of the present paper is to study weakly B symmetric manifolds (WBS)n . At first some geometric properties of (WBS)n (n > 2) have been studied. Finally, we consider (WBS)4 spacetimes. They turn out to be both perfect and imperfect fluids Robertson-Walker space-times: an equation of state is provided in the first case, and in the second the nature of the bulk viscosity pressure is pointed out. Also, we construct an example of a (WBS)4 .
Concircular and torse-forming vector field; Equation of state; Generalized Robertson-Walker space-times; Imperfect fluids; Perfect fluids; Pseudo B symmetric manifolds; Weakly B symmetric manifolds; weakly symmetric manifolds;
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore MAT/03 - Geometria
2021
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1019934
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