Relativistic disk

In general relativity, the relativistic disk expression refers to a class of axi-symmetric self-consistent solutions to Einstein's field equations corresponding to the gravitational field generated by axi-symmetric isolated sources. To find such solutions, one has to pose correctly and solve together the ‘outer’ problem, a boundary value problem for vacuum Einstein's field equations whose solution determines the external field, and the ‘inner’ problem, whose solution determines the structure and the dynamics of the matter source in its own gravitational field. Physically reasonable solutions must satisfy some additional conditions such as finiteness and positiveness of mass, physically reasonable kind of matter and finite geometrical size.[1][2] Exact solutions describing relativistic static thin disks as their sources were first studied by Bonnor and Sackfield and Morgan and Morgan. Subsequently, several classes of exact solutions corresponding to static and stationary thin disks have been obtained by different authors.

## References

1. ↑ Guillermo A. González and Antonio C. Gutiérrez-Piñeres. (2012). "Stationary axially symmetric relativistic thin discs with nonzero radial pressure". Classical and Quantum Gravity 29 (13): 13500. doi:10.1088/0264-9381/29/13/135001. Bibcode: 2012CQGra..29m5001G.
2. ↑ Antonio C. Gutiérrez-Piñeres, Guillermo A. González and Hernando Quevedo (2013). "Conformastatic disk-haloes in Einstein-Maxwell gravity". Phys. Rev. D 87 (4): 044010. doi:10.1103/PhysRevD.87.044010. Bibcode: 2013PhRvD..87d4010G.

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Relativity

Special
relativity|

| Background|

* Principle of relativity (Galilean relativity
* Galilean transformation)
* Special relativity
* Doubly special relativity

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Fundamental
concepts|

* Frame of reference
* Speed of light
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* Relativistic mass

Formulation|

* Lorentz transformation

Phenomena|

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General
relativity|

| Background|

* Introduction
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concepts|

* Equivalence principle
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Formulation|

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Theory of relativity

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