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Setting Limits on Supersymmetry Using Simplified Models
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Quasilocal mass in general relativity.

Mu-Tao Wang1, Shing-Tung Yau

  • 1Columbia University, Department of Mathematics, 2990 Broadway, New York, New York 10027, USA.

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

Researchers propose a new definition for quasilocal mass, a measure of spacetime curvature. This gauge-independent definition addresses challenges in existing methods and ensures non-negativity for general spacetimes.

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Area of Science:

  • General Relativity
  • Theoretical Physics
  • Spacetime Geometry

Background:

  • Defining quasilocal mass for spacelike surfaces in spacetime is a persistent challenge.
  • Existing methods often rely on the Hamilton-Jacobi analysis but struggle with selecting appropriate background configurations.
  • A key requirement for quasilocal mass is non-negativity in general spacetimes and zero in flat spacetime.

Purpose of the Study:

  • To propose a novel, gauge-independent definition of quasilocal mass.
  • To address the difficulties associated with background subtraction in the Hamilton-Jacobi approach.
  • To demonstrate that the proposed definition satisfies essential physical properties.

Main Methods:

  • Utilizing the Hamilton-Jacobi analysis framework.
  • Developing a new approach to identify the correct background configuration for mass calculation.
  • Proving the properties of the newly defined quasilocal mass.

Main Results:

  • A new definition of gauge-independent quasilocal mass has been successfully formulated.
  • The proposed definition overcomes the background subtraction problem inherent in previous attempts.
  • The new quasilocal mass is proven to be non-negative for general spacelike surfaces.

Conclusions:

  • The proposed gauge-independent quasilocal mass offers a robust and physically consistent measure.
  • This advancement provides a more reliable tool for analyzing spacetime geometry and mass in relativity.
  • The new definition satisfies critical properties, enhancing its applicability in theoretical physics.