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Title: A New Conserved Charge in General Relativity †Speaker: Takumi Hayashi †Defining conserved energy in general relativity is not straightforward due to the ambiguity of the energy of the gravity, and several definition has been proposed, including Einstein pseudotensor, Komar integral(for static spacetime), ADM mass(for asymptotically flat spacetime) and so on. But it is recently pointed out by the papers [2][3] that conservation of all these energies are merely off-shell identities based on the Noether’s 2nd theorem, rather than the consequence of the dynamics. In this talk, I review their discussion on the existing definitions of gravitational energy, and introduce the new conserved charge they proposed, providing several examples of application to the various (static and non static) spacetimes. [1] Sebastian De Haro (2021), [arXiv:2103.17160]. |