Geodesics in the generalized Schwarzschild solution

Schwarzschild Solution In Brane Induced Gravity

The metric of a Schwarzschild solution in brane induced gravity in five dimensions is studied. We find a nonperturbative solution for which an exact expression on the brane is obtained. We also find a linearized solution in the bulk and argue that a nonsingular exact solution in the entire space should exist. The exact solution on the brane is highly nontrivial as it interpolates between differ...

A Clarification on the Debate on “ the Original Schwarzschild Solution ”

Now that English translations of Schwarzschild’s original paper exist, that paper has become accessible to more people. Historically, the so-called ”standard Schwarzschild solution” was not the original Schwarzschild’s work, but it is actually due to J. Droste and, independently, H. Weyl, while it has been ultimately enabled like correct solution by D. Hilbert. Based on this, there are authors ...

Radial geodesics as a microscopic origin of black hole entropy . I : Confined under the Schwarzschild horizon

Causal radial geodesics with a positive interval in the Schwarzschild metric include a subset of trajectories completely confined under a horizon, which compose a thermal statistical ensemble with the Hawking-Gibbons temperature. The Bekenstein–Hawking entropy is given by an action at corresponding geodesics of particles with a summed mass equal to that of black hole in the limit of large mass.

Semi-analytical Solution of Dirac equation in Schwarzschild Geometry

Fe b 20 05 A Beltrami ’ s theorem and the geodesics in the Schwarzschild and Kerr space - time

We revisit a theorem, somehow neglected at present, due to E. Beltrami, through which the integration of the geodesic equations of a curved manifold is obtained by means of a method which, even if inspired by Hamilton-Jacobi method, is merely geometric. The application of this theorem to the Schwarzschild and Kerr metrics allows us to obtain in a straightforward and general way the solution of ...