- See also
- References
Non-exact solutions in general relativity are solutions of Albert Einstein's field equations of general relativity which hold only approximately. These solutions are typically found by treating the gravitational field, 
, as a background space-time, 
, (which is usually an exact solution) plus some small perturbation, 
. Then one is able to solve the Einstein field equations as a series in , dropping higher order terms for simplicity.
A common example of this method results in the linearised Einstein field equations. In this case we expand the full space-time metric about the flat Minkowski metric, 
:
,
and dropping all terms which are of second or higher order in .[1]
See also
- Exact solutions in general relativity
- Linearized gravity
- Post-Newtonian expansion
- Parameterized post-Newtonian formalism
- Numerical relativity
References
1. ^{{cite book|author=Sean M. Carroll|title=Spacetime and Geometry: An Introduction to General Relativity|url=https://books.google.com/books?id=1SKFQgAACAAJ|year=2004|publisher=Addison-Wesley Longman, Incorporated|isbn=978-0-8053-8732-2|pages=274–279}}
{{DEFAULTSORT:Non-Exact Solutions In General Relativity}}{{Relativity-stub}} 1 : General relativity
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