Test particle motion around a black hole in a braneworld

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.044022· OSTI ID:21409309

Abdujabbarov, Ahmadjon; Ahmedov, Bobomurat ^[1]

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1. Institute of Nuclear Physics, Ulughbek, Tashkent 100214, Uzbekistan, Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052 (Uzbekistan)

Analytical solutions of Maxwell equations in background spacetime of a black hole in a braneworld immersed in an external uniform magnetic field have been found. The influence of both magnetic and brane parameters on the effective potential of the radial motion of a charged test particle around a slowly rotating black hole in a braneworld immersed in a uniform magnetic field has been investigated by using the Hamilton-Jacobi method. An exact analytical solution for dependence of the radius of the innermost stable circular orbits (ISCO) r{sub ISCO} from the brane parameter for the motion of a test particle around a nonrotating isolated black hole in a braneworld has been derived. It has been shown that the radius r{sub ISCO} is monotonically growing with the increase of the module of the brane tidal charge. A comparison of the predictions on r{sub ISCO} of the braneworld model and of the observational results of ISCO from relativistic accretion disks around black holes provided the upper limit for the brane tidal charge < or approx. 10{sup 9} cm{sup 2}.

• OSTI ID: 21409309
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevD.81.044022; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ACCRETION DISKS
ANALYTICAL SOLUTION
BLACK HOLES
BRANES
COMPARATIVE EVALUATIONS
FORECASTING
HAMILTON-JACOBI EQUATIONS
MAGNETIC FIELDS
MAXWELL EQUATIONS
M-THEORY
ORBITS
RELATIVISTIC RANGE
SPACE-TIME
TEST PARTICLES
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
EVALUATION
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS