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The '''effective one-body''' or '''EOB formalism''' is an analytical approach to the gravitational [[two-body problem]] in [[general relativity]]. It was introduced by [[Alessandra Buonanno]] and [[Thibault Damour]] in 1999.<ref>{{cite journal | last=Buonanno | first=A. | last2=Damour | first2=T. | title=Effective one-body approach to general relativistic two-body dynamics | journal=Physical Review D | publisher=American Physical Society (APS) | volume=59 | issue=8 | date=1999-03-08 | issn=0556-2821 | doi=10.1103/physrevd.59.084006 | page=084006|arxiv=gr-qc/9811091}}</ref> It aims to describe all different phases of the two-body dynamics in a single analytical method.<ref>{{cite book | last=Damour | first=Thibault | last2=Nagar | first2=Alessandro | title=Mass and Motion in General Relativity | chapter=The Effective One-Body Description of the Two-Body Problem | publisher=Springer Netherlands | publication-place=Dordrecht | year=2009 | isbn=978-90-481-3014-6 | doi=10.1007/978-90-481-3015-3_7 | pages=211–252|arxiv=0906.1769}}</ref> The theory allows calculations to not only be made in particular limits limits, such as [[post-Newtonian]] theory in the early inspiral, when the objects are at large separation, or [[linearized gravity|black hole perturbation theory]], when the two objects differ greatly in mass. In addition, it leads to results faster than [[numerical relativity]]. Rather than being considered distinct from these other approaches to the two-body problem, the EOB formalism is a way to [[Padé approximant|resum]] information from other methods.<ref>{{cite book | last=Bini | first=Donato | last2=Damour | first2=Thibault | last3=Geralico | first3=Andrea | title=Innovative Algorithms and Analysis | chapter=High-Order Post-Newtonian Contributions to Gravitational Self-force Effects in Black Hole Spacetimes | publisher=Springer International Publishing | publication-place=Cham | year=2017 | isbn=978-3-319-49261-2 | issn=2281-518X | doi=10.1007/978-3-319-49262-9_2 | pages=25–77}}</ref> It does so by mapping the general two-body problem to that of a test particle in an effective [[Metric tensor (general relativity)|metric]]. The method was used in the data analysis of [[gravitational-wave observatory|gravitational wave detectors]] such as [[LIGO]] and [[Virgo interferometer|Virgo]].<ref>{{cite journal | last=Abbott | first=B. P. | last2=Abbott | first2=R. | last3=Abbott | first3=T. D. | last4=Abernathy | first4=M. R. | last5=Acernese | first5=F. | last6=Ackley | first6=K. | last7=Adams | first7=C. | last8=Adams | first8=T. | last9=Addesso | first9=P. | last10=Adhikari | first10=R. X. | display-authors=5|collaboration=LIGO Scientific Collaboration and Virgo Collaboration|
The '''effective one-body''' or '''EOB formalism''' is an analytical approach to the gravitational [[two-body problem]] in [[general relativity]]. It was introduced by [[Alessandra Buonanno]] and [[Thibault Damour]] in 1999.<ref>{{Citation
title=GW150914: First results from the search for binary black hole coalescence with Advanced LIGO | journal=Physical Review D | publisher=American Physical Society (APS) | volume=93 | issue=12 | date=2016-06-07 | issn=2470-0010 | doi=10.1103/physrevd.93.122003 | page=122003|arxiv=1602.03839}}</ref>
|last=Buonnano
|first=A.
|last2=Damour
|first2=T.
|title=Effective one-body approach to general relativistic two-body dynamics
|date=1999
|journal=Phys. Rev. D
|volume=59
|issue=8
}}</ref> It aims to describe all different phases of the two-body dynamics in a single analytical method.<ref>{{Citation
|last1=Damour
|first1=T.
|last2=Nagar
|first2=A.
|editor1-last=Blanchet
|editor1-first=L.
|editor2-last=Spallicci
|editor2-first=A.
|editor3-last=Whiting
|editor3-first=B.
|chapter=The Effective One-Body Description of the Two-Body Problem
|date=2011
|title=Mass and Motion in General Relativity
|pages=211-252
|publisher=Springer
}}</ref> The theory allows calculations to not only be made in particular limits limits, such as [[post-Newtonian]] theory in the early inspiral, when the objects are at large separation, or [[linearized gravity|black hole perturbation theory]], when the two objects differ greatly in mass. In addition, it leads to results faster than [[numerical relativity]]. Rather than being considered distinct from these other approaches to the two-body problem, the EOB formalism is a way to [[Padé approximant|resum]] information from other methods.<ref>{{Citation
|last=Bini
|first=D.
|last2=Damour
|first2=T.
|last3=Geralico
|first3=A.
|editor1-last=Gosse
|editor1-first=L.
|editor2-last=Natalini
|editor2-first=R.
|chapter=High-Order Post-Newtonian Contributions to Gravitational Self-force Effects in Black Hole Spacetimes
|date=2017
|title=Innovative Algorithms and Analysis
|pages=25-77
|publisher=Springer
}}</ref> It does so by mapping the general two-body problem to that of a test particle in an effective [[Metric tensor (general relativity)|metric]]. The method was used in the data analysis of [[gravitational-wave observatory|gravitational wave detectors]] such as [[LIGO]] and [[Virgo interferometer|Virgo]].<ref>{{Cite journal |collaboration=LIGO Scientific Collaboration and Virgo Collaboration |last=Abbott |first=B. P. |date=7 June 2016 |title=GW150914: First results from the search for binary black hole coalescence with Advanced LIGO |journal=[[Physical Review Letters]] |volume=93 |issue=12}}</ref>


== References ==
== References ==

Revision as of 15:16, 30 April 2020

The effective one-body or EOB formalism is an analytical approach to the gravitational two-body problem in general relativity. It was introduced by Alessandra Buonanno and Thibault Damour in 1999.[1] It aims to describe all different phases of the two-body dynamics in a single analytical method.[2] The theory allows calculations to not only be made in particular limits limits, such as post-Newtonian theory in the early inspiral, when the objects are at large separation, or black hole perturbation theory, when the two objects differ greatly in mass. In addition, it leads to results faster than numerical relativity. Rather than being considered distinct from these other approaches to the two-body problem, the EOB formalism is a way to resum information from other methods.[3] It does so by mapping the general two-body problem to that of a test particle in an effective metric. The method was used in the data analysis of gravitational wave detectors such as LIGO and Virgo.[4]

References

  1. ^ Buonanno, A.; Damour, T. (1999-03-08). "Effective one-body approach to general relativistic two-body dynamics". Physical Review D. 59 (8). American Physical Society (APS): 084006. arXiv:gr-qc/9811091. doi:10.1103/physrevd.59.084006. ISSN 0556-2821.
  2. ^ Damour, Thibault; Nagar, Alessandro (2009). "The Effective One-Body Description of the Two-Body Problem". Mass and Motion in General Relativity. Dordrecht: Springer Netherlands. pp. 211–252. arXiv:0906.1769. doi:10.1007/978-90-481-3015-3_7. ISBN 978-90-481-3014-6.
  3. ^ Bini, Donato; Damour, Thibault; Geralico, Andrea (2017). "High-Order Post-Newtonian Contributions to Gravitational Self-force Effects in Black Hole Spacetimes". Innovative Algorithms and Analysis. Cham: Springer International Publishing. pp. 25–77. doi:10.1007/978-3-319-49262-9_2. ISBN 978-3-319-49261-2. ISSN 2281-518X.
  4. ^ Abbott, B. P.; Abbott, R.; Abbott, T. D.; Abernathy, M. R.; Acernese, F.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016-06-07). "GW150914: First results from the search for binary black hole coalescence with Advanced LIGO". Physical Review D. 93 (12). American Physical Society (APS): 122003. arXiv:1602.03839. doi:10.1103/physrevd.93.122003. ISSN 2470-0010.
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