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Particle scattering by a test fluid on a Schwarzschild spacetime: the equation of state matters

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Abstract

The motion of a massive test particle in a Schwarzschild spacetime surrounded by a perfect fluid with equation of state p 0=wρ 0 is investigated. Deviations from geodesic motion are analyzed as a function of the parameter w, ranging from w=1, which corresponds to the case of massive free scalar fields, down into the so-called “phantom” energy, with w<−1. It is found that the interaction with the fluid leads to capture (escape) of the particle trajectory in the case 1+w>0 (<0), respectively. Based on this result, it is argued that inspection of the trajectories of test particles in the vicinity of a Schwarzschild black hole with matter around may offer a new means of gaining insights into the nature of cosmic matter.

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Authors and Affiliations

  1. CNR, Istituto per le Applicazioni del Calcolo “M. Picone”, 00185, Rome, Italy

    Donato Bini & Sauro Succi

  2. ICRA, University of Rome “La Sapienza”, 00185, Rome, Italy

    Donato Bini & Andrea Geralico

  3. Physics Department, University of Rome “La Sapienza”, 00185, Rome, Italy

    Andrea Geralico

Authors
  1. Donato Bini
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  2. Andrea Geralico
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  3. Sauro Succi
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Correspondence to Donato Bini.

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Bini, D., Geralico, A. & Succi, S. Particle scattering by a test fluid on a Schwarzschild spacetime: the equation of state matters. Eur. Phys. J. C 72, 1913 (2012). https://doi.org/10.1140/epjc/s10052-012-1913-5

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-1913-5

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