Analytic solutions in the dyon black hole with a cosmic string: Scalar fields, Hawking radiation and energy flux

Journal Article · Sun Nov 15 04:00:00 EST 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.08.027· OSTI ID:22560260

Charged massive scalar fields are considered in the gravitational and electromagnetic field produced by a dyonic black hole with a cosmic string along its axis of symmetry. Exact solutions of both angular and radial parts of the covariant Klein–Gordon equation in this background are obtained, and are given in terms of the confluent Heun functions. The role of the presence of the cosmic string in these solutions is showed up. From the radial solution, we obtain the exact wave solutions near the exterior horizon of the black hole, and discuss the Hawking radiation spectrum and the energy flux. -- Highlights: •A cosmic string is introduced along the axis of symmetry of the dyonic black hole. •The covariant Klein–Gordon equation for a charged massive scalar field in this background is analyzed. •Both angular and radial parts are transformed to a confluent Heun equation. •The resulting Hawking radiation spectrum and the energy flux are obtained.

• OSTI ID: 22560260
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Journal Issue: Complete Vol. 362; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANALYTICAL SOLUTION
BLACK HOLES
DYONS
ELECTROMAGNETIC FIELDS
EXACT SOLUTIONS
KLEIN-GORDON EQUATION
SCALAR FIELDS
SCALARS
SPACE-TIME
STRING MODELS
SYMMETRY