Abstract
We perform a survey whether higher dimensional Schwarzschild space-time is compatible with some of the solar system phenomena. As a test we examine four well known solar system effects, viz., (1) Perihelion shift, (2) Bending of light, (3) Gravitational redshift, and (4) Gravitational time delay. It is shown, under a N-dimensional solutions of Schwarzschild type very narrow class of metrics, that the results related to all these physical phenomena are mostly incompatible with the higher dimensional version of general relativity. We compare all these restricted results with the available data in the literature.
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Rahaman, F., Ray, S., Kalam, M. et al. Do Solar System Tests Permit Higher Dimensional General Relativity?. Int J Theor Phys 48, 3124–3138 (2009). https://doi.org/10.1007/s10773-009-0110-2
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DOI: https://doi.org/10.1007/s10773-009-0110-2