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Classical Calculations of Scattering Signatures from a Gravitational Singularity or the Scattering and Absorption Cross-Sections of a Black Hole

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Abstract

Within the context of general relativity theory we calculate, analytically, scattering signatures around a gravitational singularity: angular and time distributions of scattered massive objects and photons and the time and space modulation of Doppler effects. Additionally, the scattering and absorption cross sections for the gravitational interactions are calculated. The results of numerical simulations of the trajectories are compared with the analytical results.

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References

  • Abramovitz, M., Stegun I. A. 1964, Handbook of Mathematical Functions, pages 589 and 597, National Bureau of Standards.

  • Dolan, S., Doran C., Lasenby, A. 2006, Fermion Scattering by a Schwarzschild Black Hole, Phys. Rev. D74(6), 064005.

    ADS  Google Scholar 

  • Goldstein, H. 1965, Classical Mechanics, page 81 (Addison Wesley).

  • Gradshteyn, I. S., Ryzhik, I. M. 1980, Table of Integrals, Series and Products, pages 220 and 227 (Academic Press).

  • Harris, E. G. 1975, Introduction to Modern Theoretical Physics, Vol 1, page 310 (John Wiley & Sons).

  • Muller, A. 2006, Experimental Evidence of Black Holes, Proceedings of Science, School on Particle Physics, Gravity and Cosmology, 21 August–2 September 2006 (Dubrovnik, Croatia).

  • Radosz, A., Augousti, A. T., Ostasiewicz, K. 2008, Doppler Effect in Schwarzschild Geometry. J. Phys. Conf. Series, 104, 012008.

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. 102 Westwind, Oak Ridge, TN, 37830, USA

    Felix C. Difilippo

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  1. Felix C. Difilippo
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Correspondence to Felix C. Difilippo.

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Difilippo, F.C. Classical Calculations of Scattering Signatures from a Gravitational Singularity or the Scattering and Absorption Cross-Sections of a Black Hole. J Astrophys Astron 33, 311–347 (2012). https://doi.org/10.1007/s12036-012-9152-6

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  • DOI: https://doi.org/10.1007/s12036-012-9152-6

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