Thermodynamics and radiation of a collapsing shell in Schwarzschild-De Sitter universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Body Radiation, Gravitational Collapse, Spherical Shells, Thermodynamics, Thin Walled Shells, Universe, Background Radiation, Black Holes (Astronomy), Cosmology, Emission Spectra, Relativity, Schwarzschild Metric, Space-Time Functions

Scientific paper

The radiation emitted by a collapsing, spherical, neutral, nonrotating, thin shell of matter in the Schwarzschild-De Sitter space-time is studied. A black-body spectrum is found which is characterized by an effective temperature which is a function of the cosmological constant and the shell mass. This temperature is related to the one measured by a static observer. In particular, the interplay between the incipient black-hole emission and the Rindler effect is discussed. Finally it is concluded that the cosmological background radiation does not affect appreciably the emission by the collapsing shell.

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