"General relativity"의 두 판 사이의 차이

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==expositions==
 
==expositions==
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* Berti, Emanuele, Enrico Barausse, Vitor Cardoso, Leonardo Gualtieri, Paolo Pani, Ulrich Sperhake, Leo C. Stein, et al. ‘Testing General Relativity with Present and Future Astrophysical Observations’. arXiv:1501.07274 [astro-Ph, Physics:gr-Qc, Physics:hep-Ph, Physics:hep-Th], 28 January 2015. http://arxiv.org/abs/1501.07274.
 
* Deser, S. “The Legacy of ADM.” arXiv:1501.03522 [gr-Qc, Physics:hep-Th, Physics:physics], January 14, 2015. http://arxiv.org/abs/1501.03522.
 
* Deser, S. “The Legacy of ADM.” arXiv:1501.03522 [gr-Qc, Physics:hep-Th, Physics:physics], January 14, 2015. http://arxiv.org/abs/1501.03522.
 
* Damour, Thibault. ‘1974: The Discovery of the First Binary Pulsar’. arXiv:1411.3930 [gr-Qc, Physics:physics], 14 November 2014. http://arxiv.org/abs/1411.3930.
 
* Damour, Thibault. ‘1974: The Discovery of the First Binary Pulsar’. arXiv:1411.3930 [gr-Qc, Physics:physics], 14 November 2014. http://arxiv.org/abs/1411.3930.

2015년 1월 30일 (금) 03:19 판

Vacuum field equation and gravitational field equation

  • gravitational potentail satisfies the following equation (Poisson's equation)

\[\nabla^2 \phi = - 4 \pi G \rho\]

  • \(\rho\) is the matter density
  • in relativity theory, the metric plays the role of gravitational potential



energy-momentum tensor

  • also called as stress-energy tensor
  • describe the densities and flows of energy and momentum
  • all forms of mass-energy can be sources of gravitational fields
  • the stress-energy tensor \(T_{\mu \nu}\) acts as a source of the gravitational field




relativistic Vacuum field equation

relativistic matter field equation

\[R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}\]



related items


expositions

  • Berti, Emanuele, Enrico Barausse, Vitor Cardoso, Leonardo Gualtieri, Paolo Pani, Ulrich Sperhake, Leo C. Stein, et al. ‘Testing General Relativity with Present and Future Astrophysical Observations’. arXiv:1501.07274 [astro-Ph, Physics:gr-Qc, Physics:hep-Ph, Physics:hep-Th], 28 January 2015. http://arxiv.org/abs/1501.07274.
  • Deser, S. “The Legacy of ADM.” arXiv:1501.03522 [gr-Qc, Physics:hep-Th, Physics:physics], January 14, 2015. http://arxiv.org/abs/1501.03522.
  • Damour, Thibault. ‘1974: The Discovery of the First Binary Pulsar’. arXiv:1411.3930 [gr-Qc, Physics:physics], 14 November 2014. http://arxiv.org/abs/1411.3930.
  • Sperhake, Ulrich. ‘The Numerical Relativity Breakthrough for Binary Black Holes’. arXiv:1411.3997 [gr-Qc, Physics:physics], 14 November 2014. http://arxiv.org/abs/1411.3997.
  • Ashtekar, Abhay, Beverly K. Berger, James Isenberg, and Malcolm A. H. MacCallum. “General Relativity and Gravitation: A Centennial Perspective.” arXiv:1409.5823 [astro-Ph, Physics:gr-Qc, Physics:hep-Th, Physics:math-Ph], September 19, 2014. http://arxiv.org/abs/1409.5823.
  • General relativity:a very weird world