Electromagnetic Mass in $(n+2)$ Dimensional Space-times

Abstract

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, ${\nu }^{\prime }=0$ and (ii) $\rho =0$, ${\nu }^{\prime }\ne 0$ where $\rho$ and $\nu$ represent the mass density and metric potential. The solution sets thus obtained satisfy the criteria of being electromagnetic mass model such that the gravitational mass vanishes for the vanishing charge density $\sigma$ and also the space-time becomes flat. Physical features related to other parameters also have been discussed.

4 Latex pages in Revtex4 style

References in corpus (3)

• Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim
• Energy density in general relativity: a possible role for cosmological constant
• Relativistic Electromagnetic Mass Models: Charged Dust Distribution in Higher Dimensions

Cited by in corpus (9)

• Searching for higher dimensional wormholes with noncommutative geometry
• Charged gravastars in higher dimensions
• The (2+1)-dimensional charged gravastars
• A new model for spherically symmetric charged compact stars of embedding class one
• The higher dimensional gravastars
• $\Lambda$-CDM Universe: A Phenomenological Approach With Many Possibilities
• Relativistic electromagnetic mass models in spherically symmetric spacetime
• Do Solar system tests permit higher dimensional general relativity?
• Revisiting the classical electron model in general relativity