Some Recent Progress in Classical General Relativity
Felix Finster, Joel Smoller, and Shing-Tung Yau
TL;DR
This survey reviews recent advances in classical general relativity, focusing on the positive mass conjecture, Penrose inequality, and the interaction of gravity with other fields and quantum particles.
Contribution
It summarizes recent progress in understanding the positive mass conjecture, Penrose inequality, and gravity's interaction with other forces and quantum particles.
Findings
Progress on the positive mass conjecture and Penrose inequality
Extensions of these conjectures to cases with horizons
Insights into gravity's interaction with other fields and quantum particles
Abstract
In this short survey paper, we discuss certain recent results in classical gravity. Our main attention is restricted to two topics: the positive mass conjecture and its extensions to the case with horizons, including the Penrose conjecture (Part I), and the interaction of gravity with other force fields and quantum-mechanical particles (Part II).
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