Spacetimes admitting W-2-curvature tensor

作者：Mallick Sahanous^*; De Uday Chand

来源：International Journal of Geometric Methods in Modern Physics, 2014, 11(4): 1450030.

DOI：10.1142/S0219887814500303

• W-2-curvature tensor
• Einstein space
• perfect fluid spacetime
• Einstein%26apos
• s field equation
• energy-momentum tensor

The object of this paper is to study spacetimes admitting W-2-curvature tensor. At first we prove that a W-2-flat spacetime is conformally flat and hence it is of Petrov type O. Next, we prove that if the perfect fluid spacetime with vanishing W-2-curvature tensor obeys Einstein%26apos;s field equation without cosmological constant, then the spacetime has vanishing acceleration vector and expansion scalar and the perfect fluid always behaves as a cosmological constant. It is also shown that in a perfect fluid spacetime of constant scalar curvature with divergence-free W-2-curvature tensor, the energy-momentum tensor is of Codazzi type and the possible local cosmological structure of such a spacetime is of type I, D or O.

• 出版日期2014-4