Mathematics – Probability
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phdt........26c&link_type=abstract
PhD Dissertation, Wisconsin Univ. Milwaukee, WI United States
Mathematics
Probability
Space-Time Functions, Cauchy Problem, Gibbs Free Energy, Minkowski Space, Neutrons, Cosmology, Matter (Physics), Probability Theory, Quark Models, String Theory
Scientific paper
This work is the cumulation of two separate projects, the first being the development of quark-neutron layer stars and the quark parameter space that may characterize them. The second is a study of the Cauchy problem for a Gott two string spacetime. Typical nuclear equations of state and a quark bag model, surprisingly, allow compact stars with alternate layers of neutrons and quarks. One can determine on the basis of the Gibbs free energy which phase, nuclear or quark, is energetically favorable. Using the nuclear equation of state of Wiringa, and a quark equation of state given by Freedman and McLerran, the allowed quark parameter space for such layer stars is searched. Surprisingly configurations are found in which quark matter is located exterior and interior to shells of nuclear matter. Given the uncertainty in the quark parameter space, an estimate of the probability for finding pure neutron stars, pure quark stars (strange stars), stars with a quark core and a nucleon exterior, or layer stars is given. Several layer models are presented. The physical characteristics, stability, and results of a search of the quark parameter space are presented. Gott recently has constructed a spacetime modeled by two infinitely long, parallel cosmic strings which pass and gravitationally interact with each other. For large enough velocity, the spacetime will contain closed timelike curves. An explicit construction of the solution for a scalar field is presented in detail and a proof for the existence of such a solution is given for initial data satisfying conditions on an asymptotically null partial Cauchy surface. Projection maps and translation operators for the covering space are developed for the spacetime, and explicit expressions for the projection operator and the isometry group of the covering space are given. It is shown that the Gott spacetime defined is a quotient space of Minkowski space by the discrete isometry subgroup of self-equivalences of the projection map.
No associations
LandOfFree
Quark Neutron Layer Stars and the Cauchy Problem for Gott Spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quark Neutron Layer Stars and the Cauchy Problem for Gott Spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quark Neutron Layer Stars and the Cauchy Problem for Gott Spacetime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1685284