Preon stars: a new class of cosmic compact objects

New Class of Compact Stars at High Density ∗

We discuss the equation of state for cold, dense quark matter in perturbation theory, and how it might match onto that of hadronic matter. Certain choices of the renormalization scale correspond to a strongly first order chiral transition, and may generate a new class of small and very dense quark stars. The results for the mass-radius relation are compatible with the recent determination of th...

A hierarchy of cosmic compact objects - without black holes

We make the case for the existence of a, hitherto unknown and unobserved, hierarchy of ever more compact cosmic objects in the universe. This hypothesis is based on i) the assumption of ”elementary” particle sub-constituents on several levels below the presently known, inspired by Glashow’s ”blooming desert” [1], ii) the existence of nearly scale-invariant density fluctuations in the early univ...

Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations

I report on a new class of solutions to the classical field equations of general relativity with zero cosmological constant. The solutions describe a spherically symmetric, compact self gravitating object with a smooth interior matter-distribution, residing in a static electro-vacuum space time. An outstanding feature of the new solutions is a sharp, non-continuous boundary of the matter-distri...

A Class of compact operators on homogeneous spaces

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

General Relativity and Compact Objects – Neutron Stars and Black Holes