Can Einstein's equations fully explain gravitational anomalies in galaxies?

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SUMMARY

Einstein's field equations have been explored in relation to gravitational anomalies in galaxies, particularly concerning anomalous rotation curves and gravitational lensing, such as observed in the Bullet Cluster. The discussion highlights the complexity of applying General Relativity (GR) to these phenomena due to the non-linear nature of the equations and the involvement of multiple bodies. Research by Ansorg and Meinel in their 1999 paper, "Differentially rotating disks of dust," provides a framework for understanding these dynamics, although calculations of rotation curves remain unaddressed.

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  • Understanding of General Relativity (GR)
  • Familiarity with Einstein's field equations
  • Knowledge of gravitational lensing phenomena
  • Basic concepts of differential rotation in astrophysics
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  • Read Ansorg and Meinel's paper "Differentially rotating disks of dust" (1999) on arXiv
  • Explore the implications of non-linear equations in General Relativity
  • Investigate current research on black holes and their impact on galactic rotation curves
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Astronomers, astrophysicists, and researchers interested in the application of General Relativity to galactic dynamics and gravitational phenomena.

TrickyDicky
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Are the anomalous galactic rotation curves and observed gravitational lensing(i.e.bullet cluster) not well explained only when using Newtonian theory or has this problem also been tried out with Einstein field equations? ( I guess it is hard to deal with GR non-linear equations since it implies many bodies)
 
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Good question. Differentially rotating discs of dust can be described in GR, see Ansorg and Meinel, "Differentially rotating disks of dust" (1999) arXiv:gr-qc/9910045v2. This has been recently extended to include a BH at the centre. But I haven't found any attempt to calculate the rotation curves.
 

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