From Wikipedia, the free encyclopedia
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
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