Jul 5 – 10, 2021
Europe/Rome timezone

Spacetime Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Initial Data for the Einstein Equations

Jul 5, 2021, 6:30 PM
Invited talk in the parallel session Mathematical Problems of Relativistic Physics: Classical and Quantum Mathematical Problems of Relativistic Physics: Classical and Quantum


Demetre Kazaras (Duke University)


We give a lower bound for the ADM mass of 3-dimensional asymptotically flat initial data sets for the Einstein equations. The bound is given in terms of linear growth `spacetime harmonic functions' in addition to the energy-momentum density of matter fields, and is valid regardless of whether the dominant energy condition holds or whether the data possess a boundary. A corollary is a new proof of the spacetime positive mass theorem for complete initial data or those with weakly trapped surface boundary. The proof has analogy with both the Witten spinorial approach as well as the marginally outer trapped surface (MOTS) method of Eichmair, Huang, Lee, and Schoen. This is joint work with Sven Hirsch and Marcus Khuri.

Primary author

Demetre Kazaras (Duke University)


Prof. Marcus Khuri (Stony Brook University) Mr Sven Hirsch (Duke University)

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