Publikace ÚTF

A gravitational energy–momentum and the thermodynamic description of gravity

Acquaviva, G., Kofroň, D. and Scholtz, M.

A proposal for the gravitational energy–momentum tensor, known in the
literature as the square root of Bel–Robinson tensor (SQBR), is analyzed
in detail. Being constructed exclusively from the Weyl part of the Riemann
tensor, such tensor encapsulates the geometric properties of free gravitational
felds in terms of optical scalars of null congruences: making use of the
general decomposition of any energy–momentum tensor, we explore the
thermodynamic interpretation of such geometric quantities. While the matter
energy–momentum is identically conserved due to Einstein’s feld equations,
the SQBR is not necessarily conserved and dissipative terms could arise in its
vacuum continuity equation. We discuss the possible physical interpretations
of such mathematical properties.
journal:Class. Quantum Grav.

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