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On a regular modified C-metric

2014/09/30 by Hristu Culetu · 1 citation
Physics and Astronomy · #Acceleration #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Constant (computer programming) #Field (mathematics) #Relativity and Gravitational Theory #Singularity #Spacetime #Stress (linguistics) #Tensor (intrinsic definition) #Tensor field #gr-qc #hep-th

paper · pdf · doi:10.1088/1742-6596/845/1/012006

published in Journal of Physics Conference Series 845, 012006 (IOP Publishing) · title changed, 7 pages, no figures

openalex publication_date 2017/05/01 · openalex created_date 2017/06/09 · arxiv created 2019/01/24 · arxiv updated 2019/01/28 · openalex updated_date 2026/08/05

Abstract

A particular form of the C-metric is investigated, giving it a non-standard interpretation and removing any singularity at r = 0. In the weak field limit of the accelerating black hole, the proper acceleration A of a static observer is constant and the geometry becomes conformally-flat (anti de Sitter). The stress tensor is of λ-type (λ = −3 a 2 /8 πG ) and its energy density is negative. We propose that is responsible of inertial forces that appear in uniformly accelerated systems (far from the accelerating source m and for r << 1/ a the dominant term in the expression of a r is − a cosθ ). The components of the stress tensor and all invariants of the conformally-flat Schwarzschild spacetime are regulated by means of the exponential factor exp (− k/r ), k > 0.

Citations