Mathematical modeling of compact anisotropic relativistic fluid spheres in higher spacetime dimensions

Abstract

Completing previous work, a new class of interior solutions for compact static fluid spheres exhibiting pressure anisotropy, admitting conformal motion, and having 7, 8, 9, and 10 spacetime dimensions, respectively, is presented. Einstein's field equations without cosmological constant are solved for a particular energy density distribution function, assuming non‐commutative geometry of spacetime. The behavior of the physical quantities obtained does not exclude the possible existence of ultra‐compact, though rather exotic, stars in higher spacetime dimensions. Copyright © 2016 John Wiley & Sons, Ltd.

Study of Compact Stars with Buchdahl Potential in 5-D Einstein-Gauss-Bonnet Gravity

“…The anisotropy is plotted in Figure 5 and it shows that vanishes at the centre of the star, i.e. Δ(r=0) =0 [41,48]. We can also note that Δ admits higher values when K increases.…”

“…The behavior and dynamics of the gravitational field can be extended to higher dimensions [48]. The history of higher dimensions goes back to the work done by Kaluza [49] and Klein [50] who introduced the concept of extra dimensions in addition to the usual four dimensions (4-D) to unify gravitational and electromagnetic interactions.…”