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Paper   IPM / Astronomy / 17935
School of Astronomy
  Title:   Local Peculiar Motions in McVittie and LTB Spacetimes
  Author(s): 
1.  Masoud . Molaei
2.  Shant . Baghram
3.  Bahram . Mashhoon
  Status:   Preprint
  Journal:
  Year:  2024
  Supported by:  IPM
  Abstract:
We consider two inhomogeneous cosmological models, namely, the flat McVittie spacetime and a simple specific LTB spacetime. Relative to the world line of a reference comoving observer that remains spatially at rest, we study the local deviations of the world lines of free test particles. These local peculiar motions can be invariantly characterized within the framework of a quasi-inertial Fermi normal coordinate system established along the world line of the reference comoving observer. Peculiar motions in the two cosmological models are briefly compared and contrasted.

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