Massive scalar particle emission from Schwarzschild black holes
A study is undertaken to compute the absorption coefficients (or particle scattering cross-sections) of massive, scalar modes of Hawking radiation emanating from Schwarzschild black holes. This is accomplished using various variable - and constant - stepwise techniques whose results are later compared. All techniques are applied to the initial value problem associated with the system of two first-order ordinary differential equations derived from separating the Klein-Gordon wave equation in a Kerr-Newman geometry into radial and angular second-order differential equations; and all use the same JWKB-approximated starting values and asymptotic forms of the system's solutions. Using the above coefficients, summing over model angular momenta (l) gives luminosity (or total scattering cross-section, sigma) as a function of modal energy (omega) for the spectrum of modal masses (..mu..). Summing over l and integrating over model energies gives total power emission and total number emission rate as function s of model mass. The approach to the problem that is used involves elements both of the thermodynamic and of the scattering pictures of black hole emission. The partial scattering cross sections are compared both with one another and with the previously known massless, scalar field counterparts.
- Research Organization:
- Pennsylvania State Univ., University Park (USA)
- OSTI ID:
- 7131626
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
SCHWARZSCHILD METRIC
EMISSION
KERR FIELD
KLEIN-GORDON EQUATION
SCATTERING
WKB APPROXIMATION
DIFFERENTIAL EQUATIONS
EQUATIONS
GRAVITATIONAL FIELDS
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
Radio & X-Ray Sources
645400 - High Energy Physics- Field Theory