## On the General Solution to Einstein's Vacuum Field for the Point-Mass when λ ≠ 0 and Its Consequences for Relativistic Cosmology

**Authors:** Stephen J. Crothers

It is generally alleged that Einstein's theory leads to a finite but unbounded universe.
This allegation stems from an incorrect analysis of the metric for the point-mass when
λ ≠ 0. The standard analysis has incorrectly assumed that the variable r denotes a
radius in the gravitational field. Since r is in fact nothing more than a real-valued
parameter for the actual radial quantities in the gravitational field, the standard
interpretation is erroneous. Moreover, the true radial quantities lead inescapably to
λ = 0 so that, cosmologically, Einstein's theory predicts an infinite, static, empty
universe.

**Comments:** 12 pages.

**Download:** **PDF**

### Submission history

[v1] 3 Jan 2011

**Unique-IP document downloads:** 79 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.*

*
*