Bibliographic Details
| Title: |
A singularity theorem based on spatial averages. |
| Authors: |
Senovilla, J. M. M.1 |
| Source: |
Pramana: Journal of Physics. Jul2007, Vol. 69 Issue 1, p31-47. 17p. |
| Subject Terms: |
*NAKED singularities (Cosmology), *EQUATIONS, *SPACE, *METAPHYSICAL cosmology |
| People: |
RAYCHAUDHURI, A. K. |
| Abstract: |
Inspired by Raychaudhuri's work, and using the equation named after him as a basic ingredient, a new singularity theorem is proved. Open non-rotating Universes, expanding everywhere with a non-vanishing spatial average of the matter variables, show severe geodesic incompletness in the past. Another way of stating the result is that, under the same conditions, any singularity-free model must have a vanishing spatial average of the energy density (and other physical variables). This is very satisfactory and provides a clear decisive difference between singular and non-singular cosmologies. [ABSTRACT FROM AUTHOR] |
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| Database: |
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