arXiv subjects

Katsutaro Shimizu

Publications and source records attributed to Katsutaro Shimizu.

5 recordsLinked to original sources

arXiv2017

Proposal for the proper gravitational energy-momentum tensor

We propose a gravitational energy-momentum tensor of the general relativity obtained using Noethers theorem. It transforms as a tensor under general coordinate transformations. One of the two indices of the gravitational energy-momentum tensor labels a local Lorentz frame that satisfies the energy-momentum conservation law. The energies for a gravitational wave and a Friedmann-Lemaitre--Robertson--Walker universe are calculated as examples.

gr-qc↗

arXiv2016

Gravitational energy of a Schwarzschild black hole

In a previous paper, we proposed a new gravitational energy momentum tensor. Here we use this tensor to evaluate the gravitational energies both inside and outside the horizon of a Schwarzschild black hole. Our results show that all of the gravitational energy exists outside the horizon, and that there is no gravitational energy inside the horizon. We comment on a relation with our gravitational energy momentum tensor and another one which is proposed in a teleparallel gravity.

physics.gen-ph↗

arXiv2016

A distribution of energies of a charged black hole

We proposed a gravitational energy momentum tensor in previous paper. By using it, we evaluate an electric and a gravitational energies in and out of an event horizon of a charged black hole. There is no gravitational energy in the event horizon as well as Schwarzschild black hole.

physics.gen-ph↗

arXiv2015

Construction of energy-momentum tensor of gravitation

We construct the gravitational energy-momentum tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a tensor under the general coordinate transformation. Furthermore, we verify that the energy-momentum conservation is satisfied because one of the two indices of the energy-momentum tensor should be in the local Lorentz frame. It is also shown that the gravitational energy and the matter one cancel out in certain space-times.

gr-qc↗

arXiv1996

Dirac versus reduced quantization and operator ordering

We show an equivalence between Dirac quantization and the reduced phase space quantization. The equivalence of the both quantization methods determines the operator ordering of the Hamiltonian. Some examples of the operator ordering are shown in simple models.

gr-qc↗