Charged particle motion and electromagnetic field in γ spacetime

Carlos A. Benavides-Gallego; Ahmadjon Abdujabbarov; Daniele Malafarina; Bobomurat Ahmedov; Cosimo Bambi

doi:10.1103/PhysRevD.99.044012

Charged particle motion and electromagnetic field in γ spacetime

Carlos A. Benavides-Gallego
, Ahmadjon Abdujabbarov
, Daniele Malafarina
, Bobomurat Ahmedov
, Cosimo Bambi

School of Sciences and Humanities

Fudan University
Academy of Sciences of the Republic of Uzbekistan

Research output: Contribution to journal › Article › peer-review

72 Citations (Scopus)

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
Article number	044012
Journal	Physical Review D
Volume	99
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.99.044012
Publication status	Published - Feb 15 2019

Funding

The work of C. A. B. G., A. A., and C. B. was supported by the National Natural Science Foundation of China (NSFC), Grant No. U1531117, and Fudan University, Grant No. IDH1512060. C. A. B. G. also acknowledges support from the China Scholarship Council (CSC), Grant No. 2017GXZ019022. This research is supported by Grant Nos. VA-FA-F-2-008 and YFA-Ftech-2018-8 of the Uzbekistan Ministry for Innovation Development, and by the Abdus Salam International Centre for Theoretical Physics through Grant No. OEA-NT-01. This research is partially supported by an exchange grant between SU and NUUz. A. A. and B. A. would like to acknowledge Nazarbayev University, Astana, Kazakhstan for the warm hospitality through support from ORAU Grant No. SST 2015021. D. M. acknowledges support by Nazarbayev University Faculty Development Competitive Research Grant No. 090118FD5348 and by the Ministry of Education of Kazakhstan’s target program IRN: BR05236454. D. M. wishes to thank Prof. Naresh Dadhich for valuable comments and discussions.

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.99.044012

Cite this

@article{7b9f47be464b4b20aa30c7effe7b9a36,

title = "Charged particle motion and electromagnetic field in γ spacetime",

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.",

author = "Benavides-Gallego, \{Carlos A.\} and Ahmadjon Abdujabbarov and Daniele Malafarina and Bobomurat Ahmedov and Cosimo Bambi",

note = "Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

year = "2019",

month = feb,

day = "15",

doi = "10.1103/PhysRevD.99.044012",

language = "English",

volume = "99",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "4",

}

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 - https://www.scopus.com/pages/publications/85062349148

UR - https://www.scopus.com/pages/publications/85062349148#tab=citedBy

U2 - 10.1103/PhysRevD.99.044012

DO - 10.1103/PhysRevD.99.044012

M3 - Article

AN - SCOPUS:85062349148

SN - 2470-0010

VL - 99

JO - Physical Review D

JF - Physical Review D

IS - 4

M1 - 044012

ER -

Charged particle motion and electromagnetic field in γ spacetime

Abstract

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this