
Talks at the DAA by José María Martín Senovilla, from the University of Basque Country
Place: DAA Seminar. Jerónimo Muñoz Research Building, fourth floor, in Burjasot. Day: Thursday, October 14, 2021. Time: 11:00.
"Basic geometric quantities and gravitational energy"
ABSTRACT:
Gravity manifests itself as curvature of spacetime. Its strength can be measured by considering variations of the elementary geometric quantities (area, volume, radius) of small balls with respect to their counterparts in flat spacetime. These variations are directly related, via the Einstein field equations, to the energy density of matter at the ball's centre. In this talk I consider the case when the matter energy density vanishes. The bàsic geometric quantities still feel the effect of pure gravity, and the resulting changes could still be related to the gravitational strength or, in simple words, to the gravitational energy density. This leads to a novel prescription for an aproximats quasi-local energy of the pure gravitational field.