$\gamma$Metrics in Higher Dimensions
Abstract
We introduce five and higher dimensional $\gamma$metrics. The higher dimensional metrics represent new types of singularities. For dimensions $d>5$ we have obtained $\gamma$metrics in flat coordinates. We obtain singularities of metrics and for a better understanding of geometrical and physical properties of the five dimensional metric, stable circular orbits are determined by means of the effective potential. Effect of the deformed parameter ($\gamma$) on redshift of the $\gamma$metric and surface gravity are calculated. Internal solution for the fivedimensional $\gamma$metric is also obtained.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.06667
 Bibcode:
 2021arXiv211006667H
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 9 pages, 1 figure