Structure scalars and super-Poynting vector of tilted Szekeres geometry

Abstract

In this paper, we study a version of Szekeres spacetime which is radially moving with respect to the congruence of observers and is endowed with vorticity as pointed out by Herrera et al. [L. Herrera, A. Di Prisco and J. Ibáñez, Phys. Rev. D 86 (2012) 044003]. The dynamical variables as well as structure scalars associated with tilted and nontilted frames are explored. Moreover, an explicit expression for the super-Poynting vector has been investigated in this scenario. We confirm the fact that the vorticity in the tilted Szekeres spacetime is not linked with the circular flow of superenergy on the planes perpendicular to the vorticity vector indicating its kinematical nature [L. Herrera, A. Di Prisco and J. Ibáñez, Phys. Rev. D 87 (2011) 087503]. Finally, we explore the effect of cosmological constant on the structure scalars for nontilted geometry.