Some recent results by the author on the geometry and dynamics of Finsler spacetimes are reviewed. It is shown that in Finslerian generalizations of general relativity the number of predicted lightlike cones is two, one past and one future, as in general relativity. This result is non-trivial as it can fail, for instance, in spacetime dimension two. It is also shown that suitable versions of the reverse Cauchy-Schwarz and reverse triangle inequalities hold on Finsler spacetimes. Finally, a long standing problem of Finslerian gravity concerns the development of dynamical equations which imply a conservation law. We make some progress following a recent proposal by the author according to which physical Finsler spacetimes have ane sphere indicatrices of hyperbolic type.
How many futures on Finsler spacetime? / Minguzzi, E. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - STAMPA. - 626:(2015), pp. 012029-012029. (Intervento presentato al convegno 7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics) [10.1088/1742-6596/626/1/012029].
How many futures on Finsler spacetime?
MINGUZZI, ETTORE
2015
Abstract
Some recent results by the author on the geometry and dynamics of Finsler spacetimes are reviewed. It is shown that in Finslerian generalizations of general relativity the number of predicted lightlike cones is two, one past and one future, as in general relativity. This result is non-trivial as it can fail, for instance, in spacetime dimension two. It is also shown that suitable versions of the reverse Cauchy-Schwarz and reverse triangle inequalities hold on Finsler spacetimes. Finally, a long standing problem of Finslerian gravity concerns the development of dynamical equations which imply a conservation law. We make some progress following a recent proposal by the author according to which physical Finsler spacetimes have ane sphere indicatrices of hyperbolic type.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.