6533b82bfe1ef96bd128d8ac

RESEARCH PRODUCT

Accelerated observers and the notion of singular spacetime

Gonzalo J. OlmoAntonio Sanchez-puenteDiego Rubiera-garcia

subject

PhysicsPhysics and Astronomy (miscellaneous)SpacetimeGeodesic010308 nuclear & particles physicsMotion (geometry)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyBlack holeTheoretical physicsGeneral Relativity and Quantum CosmologyGeneral covarianceCompleteness (order theory)0103 physical sciences010306 general physics

description

Geodesic completeness is typically regarded as a basic criterion to determine whether a given spacetime is regular or singular. However, the principle of general covariance does not privilege any family of observers over the others and, therefore, observers with arbitrary motions should be able to provide a complete physical description of the world. This suggests that in a regular spacetime, all physically acceptable observers should have complete paths. In this work we explore this idea by studying the motion of accelerated observers in spherically symmetric spacetimes and illustrate it by considering two geodesically complete black hole spacetimes recently described in the literature. We show that for bound and locally unbound accelerations, the paths of accelerated test particles are complete, providing further support to the regularity of such spacetimes.

https://dx.doi.org/10.48550/arxiv.1710.08712