Sebastian
Szybka
Jagiellonian University
Abstract: We prove an infinite sequence of inequalities among scalar polynomial invariants of symmetric rank-2 tensors of Segre types A1, A3, and B. In particular, these inequalities apply to the Ricci tensor and the energy-momentum tensor. If at least one of them is violated by the Ricci tensor, then the Einstein equations force violation of all classical energy conditions. In addition, we use one of the inequalities to generalize the known relation between the second Ricci invariant and the Kretschmann scalar.
Zoom details
Zoom link: [LINK]
Meeting ID: 813 0444 2723
Passcode: 812303
Location: Aula of the Institute of Physics PAS, Al. Lotników 32/46 / Zoom
