Abstract A generalization of the Riemannian Penrose inequality in n-dimensional space (3 ≤ n < 8) is done. We introduce a parameter α ($-\frac{1}{n-1}<\alpha \infty$) indicating strength gravitational field, and define refined attractive gravity probe surface (refined AGPS) with α. Then, we show area for AGPS, $A \le \omega _{n-1} \left[ (n+2(n-1)\alpha )Gm /(1+(n-1)\alpha ) \righ...

The two main processes of black hole formation are collapse a matter cloud under its own gravity and accretion onto an already existing gravitating centre. necessary condition for both the to operate is that overall force on collapsing fluid element or test accreting particles attractive. It turns out this not case in general higher dimensions greater than usual four having nonzero angular mome...