Yumei Wu

Generalized Vaidya Solutions

A large family of solutions, representing, ingeneral, spherically symmetric Type II fluid, ispresented, which includes most of the known solutions tothe Einstein field equations, such as, the monopole-de Sitter-charged Vaidya ones.

Collapse of a scalar field in 2 + 1 gravity

We consider the problem of critical gravitational collapse of a scalar field in 2 + 1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure, we examine their perturbations with the intent of understanding which are the critical solutions with a single unstable mode. The critical solution which we find is the one which agrees most closely with that found in numerical evolutions. However, the critical exponent which we find does not seem to agree with the numerical result.

Topological charged black holes in high dimensional spacetimes and their formation from gravitational collapse of a type II fluid

Topological charged black holes coupled with a cosmological constant in

Kink stability of isothermal spherical self-similar flow revisited

{R}^{2}\ifmmode\times\else\texttimes\fi{}{X}^{D\ensuremath{-}2}

Vanishing Relaxation Limit of Viscoelasticity

spacetimes are studied, where

COLLAPSING FLUID WITH SELF-SIMILARITY OF THE SECOND KIND IN 2 + 1 GRAVITY

{X}^{D\ensuremath{-}2}

Cosmology in nonrelativistic general covariant theory of gravity

is an Einstein space of the form

Oscillations of Volterra integral equations with delay

{}^{(D\ensuremath{-}2)}{R}_{\mathrm{AB}}=k(D\ensuremath{-}{3)h}_{\mathrm{AB}}.

OSCILLATION OF VOLTERRA INTEGRAL EQUATIONS AND FORCED FUNCTIONAL DIFFERENTIAL EQUATIONS

The global structure for the four-dimensional spacetimes with

Kink stability of self-similar solutions of scalar field in 2 + 1 gravity

k=0