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- Positive_energy_theorem abstract "In general relativity, the positive energy theorem (more commonly known as the positive mass conjecture in differential geometry) states that, assuming the dominant energy condition, the mass of an asymptotically flat spacetime is non-negative; furthermore, the mass is zero only for Minkowski spacetime. The theorem is a scalar curvature comparison theorem, with asymptotic boundary conditions, and a corresponding statement of geometric rigidity.The original proof of the theorem for ADM mass was provided by Richard Schoen and Shing-Tung Yau in 1979 using variational methods. Edward Witten gave another proof in 1981 based on the use of spinors, inspired by positive energy theorems in the context of supergravity. An extension of the theorem for the Bondi mass was given by Ludvigsen and James Vickers, Gary Horowitz and Malcolm Perry, and Schoen and Yau.Gary Gibbons, Stephen Hawking, Horowitz and Perry proved extensions of the theorem to asymptotically anti-de Sitter spacetimes and to Einstein–Maxwell theory. The mass of an asymptotically anti-de Sitter spacetime is non-negative and only equal to zero for anti-de Sitter spacetime. In Einstein–Maxwell theory, for a spacetime with electric charge and magnetic charge , the mass of the spacetime satisfieswith equality for the Majumdar–Papapetrou extremal black hole solutions.".
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- Positive_energy_theorem wikiPageExternalLink p369_1.
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- Positive_energy_theorem wikiPageID "2608111".
- Positive_energy_theorem wikiPageRevisionID "572727526".
- Positive_energy_theorem hasPhotoCollection Positive_energy_theorem.
- Positive_energy_theorem subject Category:Mathematical_methods_in_general_relativity.
- Positive_energy_theorem subject Category:Theorems_in_general_relativity.
- Positive_energy_theorem type Ability105616246.
- Positive_energy_theorem type Abstraction100002137.
- Positive_energy_theorem type Cognition100023271.
- Positive_energy_theorem type Communication100033020.
- Positive_energy_theorem type Know-how105616786.
- Positive_energy_theorem type MathematicalMethodsInGeneralRelativity.
- Positive_energy_theorem type Message106598915.
- Positive_energy_theorem type Method105660268.
- Positive_energy_theorem type Proposition106750804.
- Positive_energy_theorem type PsychologicalFeature100023100.
- Positive_energy_theorem type Statement106722453.
- Positive_energy_theorem type Theorem106752293.
- Positive_energy_theorem type TheoremsInGeneralRelativity.
- Positive_energy_theorem type TheoremsInMathematicalPhysics.
- Positive_energy_theorem comment "In general relativity, the positive energy theorem (more commonly known as the positive mass conjecture in differential geometry) states that, assuming the dominant energy condition, the mass of an asymptotically flat spacetime is non-negative; furthermore, the mass is zero only for Minkowski spacetime.".
- Positive_energy_theorem label "Positive energy theorem".
- Positive_energy_theorem label "正能量定理".
- Positive_energy_theorem sameAs m.07rdjf.
- Positive_energy_theorem sameAs Q4179283.
- Positive_energy_theorem sameAs Q4179283.
- Positive_energy_theorem sameAs Positive_energy_theorem.
- Positive_energy_theorem wasDerivedFrom Positive_energy_theorem?oldid=572727526.
- Positive_energy_theorem isPrimaryTopicOf Positive_energy_theorem.