A Classification of spherically symmetric kinematic selfsimilar perfect fluid solutions
Jul, 2002
33 pages
Published in:
- Prog.Theor.Phys. 108 (2002) 819-851
e-Print:
- gr-qc/0207120 [gr-qc]
DOI:
Report number:
- WU-AP-150-02
View in:
Citations per year
Abstract: (arXiv)
We classify all spherically symmetric spacetimes admitting a kinematic self-similar vector of the second, zeroth or infinite kind. We assume that the perfect fluid obeys either a polytropic equation of state or an equation of state of the form , where and are the pressure and the energy density, respectively, and is a constant. We study the cases in which the kinematic self-similar vector is not only ``tilted'' but also parallel or orthogonal to the fluid flow. We find that, in contrast to Newtonian gravity, the polytropic perfect-fluid solutions compatible with the kinematic self-similarity are the Friedmann-Robertson-Walker solution and general static solutions. We find three new exact solutions which we call the dynamical solutions (A) and (B) and -cylinder solution, respectively.References(42)
Figures(0)