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Effective field theory
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===Gravitational field theories === [[General relativity]] (GR) itself is expected to be the low energy effective field theory of a full theory of [[quantum gravity]], such as [[string theory]] or [[loop quantum gravity]]. The expansion scale is the [[Planck mass]]. Effective field theories have also been used to simplify problems in general relativity, in particular in calculating the [[gravitational wave]] signature of inspiralling finite-sized objects.<ref>{{Cite journal |arxiv = hep-th/0409156|last1 = Goldberger|first1 = Walter|title = An Effective Field Theory of Gravity for Extended Objects|journal = Physical Review D|volume = 73|issue = 10|last2 = Rothstein|first2 = Ira|year = 2004| page=104029 |doi = 10.1103/PhysRevD.73.104029|s2cid = 54188791}}</ref> The most common EFT in GR is non-relativistic general relativity (NRGR),<ref>{{Cite web |last1=Porto |first1=Rafael A. |last2=Rothstein |first2=Ira |last3=Goldberger |first3=Walter |title=EFT meets GR |url=https://online.kitp.ucsb.edu/online/numrel-m08/buonanno/pdf1/Porto_NumRelData_KITP.pdf |access-date=3 November 2023 |website=online.kitp.ucsb.edu}}</ref><ref>{{Cite journal |arxiv = 0712.4116|last1 = Kol|first1 = Barak|title = Non-Relativistic Gravitation: From Newton to Einstein and Back|journal = Classical and Quantum Gravity|volume = 25|issue = 14|pages = 145011|last2 = Smolkin|first2 = Lee|year = 2008|doi = 10.1088/0264-9381/25/14/145011|bibcode = 2008CQGra..25n5011K|s2cid = 119216835}}</ref><ref>{{Cite journal |arxiv = gr-qc/0511061|last1 = Porto|first1 = Rafael A|title = Post-Newtonian corrections to the motion of spinning bodies in NRGR|journal = Physical Review D|volume = 73|issue = 104031|pages = 104031|year = 2006|doi = 10.1103/PhysRevD.73.104031|s2cid = 119377563}}</ref> which is similar to the [[post-Newtonian expansion]].<ref>{{Cite journal |doi = 10.1103/PhysRevD.88.104037|title = Theory of post-Newtonian radiation and reaction|journal = Physical Review D|volume = 88|issue = 10|pages = 104037|year = 2013|last1 = Birnholtz|first1 = Ofek|last2 = Hadar|first2 = Shahar|last3 = Kol|first3 = Barak|arxiv = 1305.6930|bibcode = 2013PhRvD..88j4037B|s2cid = 119170985}}</ref> Another common GR EFT is the extreme mass ratio (EMR), which in the context of the inspiralling problem is called [[extreme mass ratio inspiral]].
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