Evolution of thin-wall configurations of texture matter

TL;DR

This paper investigates the properties and dynamics of texture matter in general relativity, including thermodynamics, classical motion, and quantum aspects, revealing zero gravitational mass in equilibrium and quantized bound states.

Contribution

It introduces a comprehensive analysis of texture matter, covering thermodynamics, classical trajectories, and quantum wave functions, with exact solutions and spectral quantization.

Findings

Total gravitational mass of neutral textures in equilibrium is zero.

Classical motion of texture objects can be elliptical, parabolic, or hyperbolic.

Quantization yields exact wave functions and discrete bound state spectra.

Abstract

We consider the free matter of global textures within the framework of the perfect fluid approximation in general relativity. We examine thermodynamical properties of texture matter in comparison with radiation fluid and bubble matter. Then we study dynamics of thin-wall selfgravitating texture objects, and show that classical motion can be elliptical (finite), parabolical or hyperbolical. It is shown that total gravitational mass of neutral textures in equilibrium equals to zero as was expected. Finally, we perform the Wheeler-DeWitt's minisuperspace quantization of the theory, obtain exact wave functions and discrete spectra of bound states with provision for spatial topology.