Abstract
The equation of motion for a relativistic neutral particle that moves in a medium characterized by a friction proportional to the square of the velocity is analyzed. The relativistic trajectory is derived in a numerical way and in the form of a Taylor series. The astrophysical applications cover the trajectory of SN 1993J and the light curve of gamma ray bursts.
Highlights
Relativistic viscosity has the following applications: change in the mean particle momentum and spreading around the mean for the cosmic rays (CR) [1]; acceleration of CR in shear flows, such as active galactic nuclei (AGN), gamma ray burst (GRB) and jets [2] [3]; interaction of a neutral particle with the microwave background radiation (CMB) [4] [5]; and generation of the CMB in the expanding universe [6]
The equation of motion for a relativistic neutral particle that moves in a medium characterized by a friction proportional to the square of the velocity is analyzed
The astrophysical applications cover the trajectory of SN 1993J and the light curve of gamma ray bursts
Summary
Relativistic viscosity has the following applications: change in the mean particle momentum and spreading around the mean for the cosmic rays (CR) [1]; acceleration of CR in shear flows, such as active galactic nuclei (AGN), gamma ray burst (GRB) and jets [2] [3]; interaction of a neutral particle with the microwave background radiation (CMB) [4] [5]; and generation of the CMB in the expanding universe [6]. The Lagrangian and a Hamiltonian for a relativistic particle moving in a dissipative medium characterized by a force that depends on the square of the velocity of the particle have been derived [7]. This paper is a highly idealized attempt to model SN light curves by assuming that the resistivity of the ambient interstellar medium is quadratic to the velocity of the SN envelope. The CMB is not related with the model that is presented here
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