Superenergy tensors for a massive scalar field
| dc.creator | Teyssandier, P. | |
| dc.date | 1999-05-20 | |
| dc.date.accessioned | 2026-07-07T03:33:13Z | |
| dc.date.available | 2026-07-07T03:33:13Z | |
| dc.description | We define a general class of superenergy tensors of even rank 2(n+1) for a real massive scalar field propagating in Minkowski spacetime. In the case where n=1, we establish that this class is a two-parameter family, which reduces to a unique tensor W(up to a constant factor) when the complete symmetry on the four indices is required. We show that the superenergy density $W^{\al\ba\ga\da}u_{\al}u_{\ba}u_{\ga}u_{\da}$ relative to any timelike unit vector $u$ is positive definite and that the supermomentum density $W^{\al\ba\ga\da}u_{\ba}u_{\ga}u_{\da}$ is a timelike or a null vector ($W^{\al\ba\ga\da}$ stands for W). Next, we find an infinite set of conserved tensors $U_{(p,q)}$ of rank 2+p+q, that we call weak superenergy tensors of order n when p=q=n. We show that $U_{(1,1)}$ and W yield the same total superenergy and the same total supermomentum. Then, using the canonical quantization scheme, we construct explicitly the superhamiltonian and the supermomentum operators corresponding to W and to each weak superenergy tensor $U_{(n,n)}$. Finally, we exhibit a two-parameter family of superenergy tensors for an electromagnetic field and for a gravitational field. | |
| dc.description | 21 pages; submitted to Journal of Mathematical Physics | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9905080 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9905080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36531 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Superenergy tensors for a massive scalar field | |
| dc.type | text |