300 citations · 5.9k across the 226 of their papers we have counts for
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Energies and a gravitational charge for massive particles in general relativity
Sinya Aoki, Tetsuya Onogi, Tatsuya Yamaoka
In this paper, we investigate relations or differences among various conserved quantities which involve the matter Energy Momentum Tensor (EMT) in general relativity. These charges…
Colliding gravitational waves and singularities
Sinya Aoki
We have investigated a model of colliding plain gravitational waves, proposed by Szekeres, whose structure of singularities is determined. We have evaluated a total energy of matte…
Do we know how to define energy in general relativity?
Sinya Aoki
This essay is dedicated to Prof. K.K. Phua on the occasion of his 80th birthday. While the contents of this essay are based on our recent papers published in the Internatio…
Charge Conservation, Entropy Current, and Gravitation
Sinya Aoki, Tetsuya Onogi, Shuichi Yokoyama
We propose a new class of vector fields to construct a conserved charge in a general field theory whose energy momentum tensor is covariantly conserved. We show that there always e…
Conserved charges in general relativity
Sinya Aoki, Tetsuya Onogi, Shuichi Yokoyama
We present a precise definition of a conserved quantity from an arbitrary covariantly conserved current available in a general curved spacetime with Killing vectors. This definitio…