Author(s)

Manavendra Mahato^*, Ajay Pratap Singh

Discipline of Physics, Indian Institute of Technology Indore, Indore, India.

We construct and investigate non conformal anisotropic Bianchi type VII₀ solutions in 5 dimensions. The solutions are asymptotically flat with a singularity. We also construct anisotropic solutions of Einstein-Maxwell gravity using a procedure similar to Majumdar-Papapetrou solutions with various profiles of charged dust and explore ways to hide the singularity behind the horizon. We further embed it in one higher dimension to get an asymptotically anti de Sitter space and approximate two point correlator of operators with higher conformal dimensions by calculating geodesic lengths. We find a peculiar power law decay of the correlator as a function of separation.

Bianchi Spacetimes, Anisotropic Spacetime, Gauge/Gravity Correspondence

Mahato, M. and Singh, A. (2016) Novel Bianchi VII Space Times and Their Properties. Journal of Modern Physics, 7, 445-457. doi: 10.4236/jmp.2016.75046.