Beyond relativistic Lagrangian perturbation theory: An exact-solution controlled model for structure formation
Abstract
We develop a new nonlinear method to model structure formation in general relativity from a generalization of the relativistic Lagrangian perturbation schemes, controlled by Szekeres (and LTB) exact solutions. The overall approach can be interpreted as the evolution of a deformation field on an inhomogeneous reference model, obeying locally Friedmann-like equations. In the special case of locally one-dimensional deformations, the new model contains the entire Szekeres family of exact solutions. As thus formulated, this approach paraphrases the Newtonian and relativistic Zel'dovich approximations, having a large potential for applications in contexts where relativistic degrees of freedom are relevant. Numerical simulations are implemented to illustrate the capabilities and accuracy of the model.
- Publication:
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Physical Review D
- Pub Date:
- January 2023
- DOI:
- 10.1103/PhysRevD.107.024018
- arXiv:
- arXiv:2210.04004
- Bibcode:
- 2023PhRvD.107b4018G
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 21 pages, 4 figures, matches published version in PRD