Gravity induced evolution of a magnetized fermion gas with finite temperature

May 8, 2013, 3:00 PM
30m
Allegro Varadero Hotel

Allegro Varadero Hotel

Talk SMFNS2013

Speaker

Ismael Delgado Gaspar (Instituto de Geofísica y Astronomía, La Habana, Cuba)

Description

We examine the near collapse dynamics of a self--gravitating magnetized electron gas at finite temperature, taken as the source of a Bianchi-I spacetime described by the Kasner metric. The set of Einstein--Maxwell field equations reduces to a complete and self--consistent system of non--linear autonomous ordinary differential equations. By considering a representative set of initial conditions, the numerical solutions of this system show the gas collapsing into both, isotropic ("point--like'') and anisotropic ("cigar--like'') singularities, depending on the intensity of the magnetic field. We also examined the behavior during the collapse stage of all relevant state and kinematic variables: the temperature, the expansion scalar, the magnetic field, the magnetization and energy density. We notice a significant qualitative difference in the behavior of the gas for a range of temperatures between the values T ~10^4 K and T ~ 10^7 K.

Primary author

Ismael Delgado Gaspar (Instituto de Geofísica y Astronomía, La Habana, Cuba)

Co-authors

Alain Ulacia Rey (Instituto de Cibernética, Matemática, y Física (ICIMAF), La Habana, Cuba) Aurora Pérez Martínez (Instituto de Cibernética, Matemática, y Física (ICIMAF), La Habana, Cuba) Roberto A. Sussman (Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México (ICN-UNAM), Mexico D.F., Mexico)

Presentation materials