### Abstract

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 γ metric (or Zipoy-Voorhees), is related to the Schwarzschild spacetime through a real positive parameter γ 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 (γ<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.

Original language | English |
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Article number | 044012 |

Journal | Physical Review D |

Volume | 99 |

Issue number | 4 |

DOIs | |

Publication status | Published - Feb 15 2019 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*99*(4), [044012]. https://doi.org/10.1103/PhysRevD.99.044012

**Charged particle motion and electromagnetic field in γ spacetime.** / Benavides-Gallego, Carlos A.; Abdujabbarov, Ahmadjon; Malafarina, Daniele; Ahmedov, Bobomurat; Bambi, Cosimo.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 99, no. 4, 044012. https://doi.org/10.1103/PhysRevD.99.044012

}

TY - JOUR

T1 - Charged particle motion and electromagnetic field in γ spacetime

AU - Benavides-Gallego, Carlos A.

AU - Abdujabbarov, Ahmadjon

AU - Malafarina, Daniele

AU - Ahmedov, Bobomurat

AU - Bambi, Cosimo

PY - 2019/2/15

Y1 - 2019/2/15

N2 - 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 γ metric (or Zipoy-Voorhees), is related to the Schwarzschild spacetime through a real positive parameter γ 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 (γ<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.

AB - 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 γ metric (or Zipoy-Voorhees), is related to the Schwarzschild spacetime through a real positive parameter γ 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 (γ<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.

UR - http://www.scopus.com/inward/record.url?scp=85062349148&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.99.044012

DO - 10.1103/PhysRevD.99.044012

M3 - Article

VL - 99

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 4

M1 - 044012

ER -