Multitemporal generalization of Schwarzschild solution

Abstract

The $n$-time generalization of Schwarzschild solution is considered. The equations of geodesics for the metric are integrated. The multitemporal analogues of Newton laws for the extended objects described by the solution are suggested. The scalar-vacuum generalization of the solution is also presented.

7 pages

References in corpus (2)

• Multitemporal generalization of the Tangherlini solution
• On Black Hole Stability in Multidimensional Gravity

Cited by in corpus (5)

• Sigma-model for Generalized Composite p-branes
• Gravitating Brane Systems: Some General Theorems
• Conformal frames and D-dimensional gravity
• Static Ricci-flat 5-manifolds admitting the 2-sphere
• On multitemporal generalization of Newton's gravitational law