The stress-energy tensor and the deflection of light in 6-dimensional general relativity

Details The stress-energy tensor and the deflection of light in 6-dimensional general relativity The stress-energy tensor and the deflection of light in 6-dimensional general relativity

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ap%26ss.244..211c&link_type=abstract

Astrophysics and Space Science, Volume 244, Issue 1-2, pp. 211-218

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

We find the stress-energy tensor of a perfect fluid in the 6-dimensional spacetime proposed by Cole. Using the weak-field Newtonian approximation of general relativity gives a constant of proportionality in Einstein's field equations that differs by a factor of 4/6 from the usual one and shows that Cole's extension of the Schwarzschild metric to 6 dimensions is not valid for a gravitating mass of “ordinary” matter. A subsequent evaluation of the deflection of starlight for the 6-d spacetime gives a result that is 4/6 of the 4-d result. We conclude that if spacetime is 6-dimensional, one must find a different way to deal with gravity.

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