Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
Cosmological models (Carg\`{e}se lectures 1998)
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abstract
The aim of this set of lectures is a systematic presentation of a 1+3 covariant approach to studying the geometry, dynamics, and observational properties of relativistic cosmological models. In giving (i) the basic 1+3 covariant relations for a cosmological fluid, the present lectures cover some of the same ground as a previous set of Carg\`{e}se lectures \cite{ell73}, but they then go on to give (ii) the full set of corresponding tetrad equations, (iii) a classification of cosmological models with exact symmetries, (iv) a brief discussion of some of the most useful exact models and their observational properties, and (v) an introduction to the gauge-invariant and 1+3 covariant perturbation theory of almost-Friedmann-Lema\^{\i}tre-Robertson-Walker universes, with a fluid description for the matter and a kinetic theory description of the radiation.
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Eckart heat flux holds for all timelike scalar configurations in F(Φ,X)R + G theories if and only if F_X ≡ 0, reducing the theory to a Jordan-like subclass of Horndeski.
Presents an observer-explicit diagnostic framework that separates inhomogeneity, expansion variance, shear, and Weyl curvature contributions in cosmological solutions of Einstein's equations, tested on six benchmark families with public code.
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.
Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-condition violation locations.
For an observer with peculiar motion, the cosmic redshift-drift signal gains a dipolar correction proportional to the flow's projected expansion, shear, and acceleration; calibrated to CF4, it is subdominant and cannot mimic an accelerating EdS universe.
Einstein-Cartan cosmology predicts much larger mass density and sigma_8(z) at high redshifts than LCDM, making the S8 discrepancy between CMB and low-redshift data a natural outcome rather than a problem.
The 1+3 covariant formalism reproduces the standard result for peculiar velocity growth in cosmology and does not imply anomalous bulk flows or apparent acceleration.
citing papers explorer
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Gravitational edge mode powers galaxy flat rotation curves
Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
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Eckart heat-flux applicability in $F(\Phi,X)R$ theories and the existence of temperature gradients
Eckart heat flux holds for all timelike scalar configurations in F(Φ,X)R + G theories if and only if F_X ≡ 0, reducing the theory to a Jordan-like subclass of Horndeski.
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Geometric Phase-Space Structure in Cosmological Solutions of Einstein's Field Equations
Presents an observer-explicit diagnostic framework that separates inhomogeneity, expansion variance, shear, and Weyl curvature contributions in cosmological solutions of Einstein's equations, tested on six benchmark families with public code.
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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.
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Regular Black Holes from Anisotropic Source with Hydrodynamic Equation of State
Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-condition violation locations.
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Expected redshift drift for tilted observers
For an observer with peculiar motion, the cosmic redshift-drift signal gains a dipolar correction proportional to the flow's projected expansion, shear, and acceleration; calibrated to CF4, it is subdominant and cannot mimic an accelerating EdS universe.
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Einstein-Cartan cosmology and the S8 problem
Einstein-Cartan cosmology predicts much larger mass density and sigma_8(z) at high redshifts than LCDM, making the S8 discrepancy between CMB and low-redshift data a natural outcome rather than a problem.
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Cosmological peculiar velocities in general relativity
The 1+3 covariant formalism reproduces the standard result for peculiar velocity growth in cosmology and does not imply anomalous bulk flows or apparent acceleration.