Seminars & Colloquia Calendar
The weak second Bianchi identity for spacetimes with timelike singularities
Shadi Tahvildar-Zadeh - Rutgers University
Location: Hill 703
Date & time: Wednesday, 30 January 2019 at 11:00AM - 12:30PM
Abstract: The twice-contracted second Bianchi identity is automatically satisfied for smooth Lorentzian manifolds. If their metric solves the Einstein equations with energy-momentum-stress tensor of a ``matter field'' as the source of spacetime curvature, this identity implies the physical laws of energy and momentum conservation for that field.
In this talk I explain how to obtain a distributional version of this identity, for spherically- symmetric spacetimes with time-like singularities, so long as the associated curvature blow-up is not too severe. A necessary condition for the weak identity to hold is the local integrability of the energy-momentum density of the field of a point charge, which is fulfilled by a large family of electromagnetic vacuum laws. This family includes the Born-Infeld law but it does NOT include the traditional linear vacuum law of Maxwell.
(joint work with A. Burtscher and M. Kiessling)