## Exact Solutions of Einstein's Field Equations Associated to a Point-Mass Delta-Function Source

**Authors:** Carlos Castro

We explicitly solve the static spherically symmetric Einstein field
equations due to a delta function point mass source at r = 0 and explain
why our solutions are not diffeomorphic to the textbook solution. It is
shown that the Euclidean action (in h-bar units) is precisely equal to the
black hole entropy (in Planck area units). This result holds in any
dimensions D >= 3 . Instead of a black-hole solution with a horizon at
r = 2GM one has a spacetime void surrounding the singularity.

**Comments:** recovered from sciprint.org

**Download:** **PDF**

### Submission history

[v1] 9 Nov 2007

**Unique-IP document downloads:** 31 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*