A New Proof of the Positive Energy Theorem

A New Proof of the Positive Energy Theorem

1981 | Edward Witten
The paper by Edward Witten presents new and simple proofs of the positive energy theorem in classical general relativity and another theorem related to the stability of Minkowski space. The positive energy theorem asserts that Minkowski space is the unique space of lowest energy, while the other theorem demonstrates that there are no asymptotically Euclidean gravitational instantons. These results are significant because they provide strong evidence for the stability of Minkowski space against semiclassical decay processes. The proofs build upon previous work by Schoen and Yau, who used a geometrical method to resolve the long-standing problem of the positive energy theorem. Witten's approach is more straightforward and provides additional insights into the stability of Minkowski space.The paper by Edward Witten presents new and simple proofs of the positive energy theorem in classical general relativity and another theorem related to the stability of Minkowski space. The positive energy theorem asserts that Minkowski space is the unique space of lowest energy, while the other theorem demonstrates that there are no asymptotically Euclidean gravitational instantons. These results are significant because they provide strong evidence for the stability of Minkowski space against semiclassical decay processes. The proofs build upon previous work by Schoen and Yau, who used a geometrical method to resolve the long-standing problem of the positive energy theorem. Witten's approach is more straightforward and provides additional insights into the stability of Minkowski space.
Reach us at info@study.space
[slides and audio] A new proof of the positive energy theorem