Classification of Einstein equations with cosmological constant in warped product space-time

Abstract

We classify all warped product space-times in three categories as i) generalized twisted product structures, ii) base conformal warped product structures and iii) generalized static space-times and then we obtain the Einstein equations with the corresponding cosmological constant by which we can determine uniquely the warp functions in these warped product space-times.

10 pages

References in corpus (4)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Power-law cosmic expansion in f(R) gravity models
• Multiply-warped product metrics and reduction of Einstein equations