Moebius inverse problem for distorted black holes

Details Moebius inverse problem for distorted black holes Moebius inverse problem for distorted black holes

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993stin...9412880r&link_type=abstract

Unknown

Mathematics

Number Theory

Black Body Radiation, Black Holes (Astronomy), Number Theory, Schwarzschild Metric, Supersymmetry

Scientific paper

Hawking 'thermal' radiation could be a means to detect black holes of micron sizes, which may be hovering through the universe. We consider these micro-black holes to be distorted by the presence of some distribution of matter representing a convolution factor for their Hawking radiation. One may hope to determine from their Hawking signals the temperature distribution of their material shells by the inverse black body problem. In 1990, Nan-xian Chen has used a so-called modified Moebius transform to solve the inverse black body problem. We discuss and apply this technique to Hawking radiation. Some comments on supersymmetric applications of Moebius function and transform are also added.

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