2018/12/31 by Carlos A. Benavides-Gallego, Ahmadjon Abdujabbarov, Daniele Malafarina +2 · 1 citation
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics and Cosmic Phenomena #Axial symmetry #Classical mechanics #Einstein #Einstein field equations #Field (mathematics) #General relativity #Gravitational field #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Spacetime #gr-qc
paper · pdf · doi:10.1103/physrevd.99.044012
published as Phys. Rev. D 99, 044012 (2019) · 14 pages, 9 figures. v2: refereed version
openalex created_date 2018/12/22 · openalex publication_date 2019/02/11 · arxiv created 2019/02/12 · arxiv updated 2019/02/13 · openalex updated_date 2026/08/05
We consider the electromagnetic field occurring in the background of a static, axially symmetric vacuum solution of Einstein's field equations immersed in an external magnetic field. The solution, known as the \ensuremathγ metric (or Zipoy-Voorhees), is related to the Schwarzschild spacetime through a real positive parameter \ensuremathγ that describes its departure from spherical symmetry. We study the motion of charged and uncharged particles in this spacetime and particle collision in the vicinity of the singular surface and compare with the corresponding result for Schwarzschild. We show that there is a sharp contrast with the black hole case; in particular, in the prolate case (\ensuremathγ<1) particle collision can occur with an arbitrarily high center of mass energy. This mechanism could in principle allow one to distinguish such a source from a black hole.