Ronald Bibb

Ordinary-Matter Dynamics of Timelike Kantowski–Sachs–Schwarzschild Shells: Local Existence and Finite-Radius Signed-Root Exit

For collapsing timelike material shells joining homogeneous Kantowski–Sachs (KS) dust to the retained increasing-radius Schwarzschild interior, define λ = [(4πG/c⁴)σ]/√[2(m − m_C)/B³], where m_C and m are the KS Misner–Sharp and Schwarzschild mass lengths. Within the admitted ord...

Ordinary-Matter Dynamics of Timelike Kantowski–Sachs–Schwarzschild Shells: Local Existence and Finite-Radius Signed-Root Exit

For collapsing timelike material shells joining homogeneous Kantowski–Sachs (KS) dust to the retained increasing-radius Schwarzschild interior, define λ = [(4πG/c⁴)σ]/√[2(m − m_C)/B³], where m_C and m are the KS Misner–Sharp and Schwarzschild mass lengths. Within the admitted ord...

Verified spherical evolution in quadratic Palatini gravity: a controlled apparent-horizon comparison

This preprint presents and verifies a spherical numerical formulation for a complex scalar field in quadratic Palatini gravity and uses it to compare apparent-horizon onset with general relativity. For constraint-solved data at dimensionless coupling ξ = 0.1, the physical onset r...

Boundary Maps from Kantowski–Sachs Collapse to Cosmological Expansion: Canonical Classification, Reduced Invariants, and Covariant Obstructions

This record archives version v1.0 of the manuscript and its reproducibility package. We ask when a relation between a collapsing Kantowski–Sachs boundary state and an expanding homogeneous state can be more than a kinematic identification. For Einstein gravity with a massless sca...