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
N1 - Funding Information:
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.
Publisher Copyright:
© 2019 American Physical Society.
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.
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U2 - 10.1103/PhysRevD.99.044012
DO - 10.1103/PhysRevD.99.044012
M3 - Article
AN - SCOPUS:85062349148
VL - 99
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 4
M1 - 044012
ER -