Characteristics of Spinning Black Holes | Chapter 06 | Advances in Applied Science and Technology Vol. 3

Aims: The present paper derives an expression for the frequency or wavelength of Hawking radiation emitted by spinning black holes in terms of the event horizon (λ=16πRs & v = c /16πRs ), when the quantum theory of radiation (E = hv), energy of Hawking radiation and event horizon of the spinning black holes (Rs = GM / c2) are used. This frequency or wavelength of Hawking radiation may be regarded as the characteristics of spinning black holes and this work is extended to derive an expression for the change in the frequency of Hawking radiation with respect to radius of event horizon (δv / δ Rs = -c / 16π Rs2).

Study Design: The secondary data for the frequencies and wavelengths of Hawking radiation has been calculated from the primary data of rest masses for stellar –mass black holes (M ~ 5 ­ 20 Mʘ) in XRBs and (M ~ 106–109.5 Mʘ) in AGN resulting the wavelength (λ=16πRs) & and frequency (v = c /16πRs). Our result corresponds to the result of research work entitled: Frequency of Hawking radiation from black holes by Mahto et al. published in International Journal of Astrophysics and Space Science (2013).

Place and Duration of Study: This work has beencompleted in the department of Physics of Marwari College under T.M.B.U. Bhagalpur from Jan 2016 to Aug 2016.

Methodology: This research work is completely theoretical and the total work has been doneusing Laptop at Marwari College Bhagalpur and University Department of Physics, T.M.B.U. Bhagalpur.

Results: The astrophysical objects which emit the radiations of wavelengths (3.707x105m to 14.828x105m) or frequencies (8.092x102Hz to 2.023x102Hz)in XRBs and wavelengths (7.414 ×1010 m to 37.070 ×1013 m) or frequencies (4.046 × 10–3 Hz to 0.809 10–6 Hz) in AGN may be classified as spinning as well as non­spinning black holes.

Conclusion: The frequencies/wavelengths of Hawking radiation either emitted from spinning black holes or non­spinning black holes are the same and only depends on their mass. This may be also regarded as the characteristics of spinning black holes in addition to the mass, spin and charge. The mass of black holes are mainly responsible for their identification and characterization and independent from spinning character.

Author(s) Details

Dipo Mahto
Department of Physics, Marwari College, T.M.B.U, Bhagalpur, India.

Alok Ranjan
Research Scholar, Department of Physics, T.M.B.U, Bhagalpur, India.

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