A phase-space perturbation theory solves the Vlasov-Poisson system without truncating momentum cumulants, recovers standard results for cold initial conditions, and generates higher cumulants dynamically from slight initial velocity dispersion.
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Presents a general analytic framework based on truncated BBGKY hierarchy solved via Volterra equations for computing power spectra in multi-species dark matter with finite velocity dispersion and Poisson fluctuations.
The authors introduce post-collapse Lagrangian perturbation theory (PCPT) that asymptotically captures early post-shell-crossing dynamics in 3D by using high-order LPT until crossing and then 1D pancake results for gravitational backreaction.
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
A new multi-scale hierarchical framework in GR uses matter horizons to extend perturbation theory beyond shell-crossing by gluing spacetimes with opposite orientation.
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Phase-space perturbation theory for cosmic large-scale structure
A phase-space perturbation theory solves the Vlasov-Poisson system without truncating momentum cumulants, recovers standard results for cold initial conditions, and generates higher cumulants dynamically from slight initial velocity dispersion.
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Multi-species Dark Matter with Warmth and Randomness
Presents a general analytic framework based on truncated BBGKY hierarchy solved via Volterra equations for computing power spectra in multi-species dark matter with finite velocity dispersion and Poisson fluctuations.
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Post-collapse Lagrangian perturbation theory in three dimensions
The authors introduce post-collapse Lagrangian perturbation theory (PCPT) that asymptotically captures early post-shell-crossing dynamics in 3D by using high-order LPT until crossing and then 1D pancake results for gravitational backreaction.
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Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
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An essential building block for cosmological zoom-in perturbation theory
A new multi-scale hierarchical framework in GR uses matter horizons to extend perturbation theory beyond shell-crossing by gluing spacetimes with opposite orientation.