Trajectories of zero rest-mass particles and gravitational trapping in interior geometries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Effects, Particle Mass, Particle Trajectories, Space-Time Functions, Trapped Particles, Gravitational Collapse, Orbital Mechanics, Relativistic Theory, Schwarzschild Metric

Scientific paper

The trajectories of particles with zero mass in Tolman's (1939) solution IV for an interior Riemannian space-time geometry are investigated analytically. The orbits for the case of a curved space-time within a spherically symmetric mass distribution are examined; the generalization to the Tolman IV case is explained; four basic types of orbits are identified; and an expression for the particle flux escaping from the configuration is given.

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