On Some Applications of the Sagnac Effect

Abstract

Considering exact spacetimes representing rotating black holes and naked singularities, we study the possibility that the Sagnac effect detects $i$) higher dimensions, $ii$) rotation of black holes in higher dimension, and also, $iii$) distinguishes black holes from naked singularities. The results indicate that the Sagnac time delay gets affected by the presence of extra-dimension or its associated angular momentum. This time delay is also different in the spacetime of a naked singularity compared to that of a black hole. Hence, the Sagnac effect may be used as an experiment for better understanding of spacetimes with higher dimensions or those that admit naked singularities.

6 pages and 6 figures

References in corpus (6)

• The Kerr Metric
• Gravitational Lensing by Rotating Naked Singularities
• On the general relativistic framework of the Sagnac effect
• Sagnac Effect, Ring Lasers and Terrestrial Tests of Gravity
• Naked singularity, firewall, and Hawking radiation
• Constraining the generalized uncertainty principle with neutron interferometry

Cited by in corpus (3)

• Probing the Solar System for Dark Matter Using the Sagnac Effect
• Some applications of the Shapiro time delay
• Constraining fractionality using some observational tests