Sep 27 – 30, 2021
Yerevan, Armenia
Etc/GMT+4 timezone

The gravitational energy-momentum pseudo-tensor in higher-order theories of gravity

Sep 27, 2021, 12:20 PM
45m
Yerevan, Armenia

Yerevan, Armenia

Department of Physics, Alex Manukyan str. 1, Yerevan, Armenia

Speaker

Salvatore Capozziello (Dipartimento di Fisica "E. Pancini", Università di Napoli Federico II)

Description

We derive the gravitational energy momentum tensor for a general Lagrangian of any order and prove that this tensor, in general, is not covariant but only affine, then it is a pseudo-tensor. Furthermore, the pseudo-tensor is calculated in the weak field limit up to a first non-vanishing term of second order in the metric perturbations. The average value of the pseudo-tensor over a suitable spacetime domain is obtained. Finally we calculate the power per unit solid angle carried by a gravitational wave. These results are useful in view of searching for further modes of gravitational radiation beyond the standard two modes of General Relativity and to deal with non-local theories of gravity. The general aim of the approach is to deal with theories of any order under the same standard.

Primary author

Salvatore Capozziello (Dipartimento di Fisica "E. Pancini", Università di Napoli Federico II)

Presentation materials