On a type of spacetimes | Zendy

Young Jin Suh | Zendy; Uday Chand De | Zendy

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On a type of spacetimes

Author(s) -

Young Jin Suh,

Uday Chand De

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1913251s

Subject(s) - spacetime , mathematical physics , stationary spacetime , metric (unit) , mathematics , spacetime topology , spherically symmetric spacetime , pure mathematics , theoretical physics , physics , quantum field theory in curved spacetime , quantum mechanics , operations management , quantum gravity , economics , quantum

In the present paper we characterize a type of spacetimes, called almost pseudo Z-symmetric spacetimes A(PZS)4. At first, we obtain a condition for an A(PZS)4 spacetime to be a perfect fluid spacetime and Roberson-Walker spacetime. It is shown that an A(PZS)4 spacetime is a perfect fluid spacetime if the Z tensor is of Codazzi type. Next we prove that such a spacetime is the Roberson-Walker spacetime and can be identified with Petrov types I, D or O[3], provided the associated scalar ? is constant. Then we investigate A(PZS)4 spacetimes satisfying divC = 0 and state equation is derived. Also some physical consequences are outlined. Finally, we construct a metric example of an A(PZS)4 spacetime.

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