Thermodynamics of shearing massless scalar field spacetimes is inconsistent with the Weyl curvature hypothesis

摘要: Our Universe has an arrow of time. In accordance with the second law thermodynamics, entropy been increasing ever since big bang. The fact that matter is in thermal equilibrium very early Universe, as indicated by cosmic microwave background, led to idea gravitational must be low beginning. Penrose proposed can quantified Weyl curvature, which increases structures form. A concrete realization such a measure Clifton-Ellis-Tavakol entropy, shown quite number cosmological models. this work, we show counterexample involving class inhomogeneous universes are supported chameleon massless scalar field and exhibit anisotropic spacetime shearing effects. fact, our model although magnitude curvature decreasing; due growth shear. topology values three free parameters constrained imposing positive energy density for fluid, thermodynamical requirements follow from holographic principle law. It negative deceleration parameter time-decreasing automatically those conditions. Thus, argue account formation some primordial structures, like large quasar groups, required nonstandard evolution spatial anisotropies.