88 citations · 361 across the 8 of their papers we have counts for
8 papers
A comment on Liu and Yau's positive quasi-local mass
N. O'Murchadha, L. B. Szabados, K. P. Tod
With the aid of a simple family of examples, we show that the quasi-local mass defined by Kijowski and Liu and Yau, and shown by Liu and Yau to be positive, may be strictly positiv…
Isotropic cosmological singularities: other matter models
K. P. Tod
Isotropic cosmological singularities are singularities which can be removed by rescaling the metric. In some cases already studied (gr-qc/9903008, gr-qc/9903009, gr-qc/9903018) exi…
A numerical study of the Schrodinger-Newton equation 2: the time-dependent problem
R. Harrison, I. Moroz, K. P. Tod
We present a numerical study of the time-dependent SN equations in 3 dimensions with 3 different kinds of symmetry: spherically symmetric, axially symmetric and translationally sym…
A numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states
R. Harrison, I. Moroz, K. P. Tod
We consider the linear stability of the spherically-symmetric stationary solutions of the Schrodinger-Newton equations. We find that the ground state is linearly stable, with only…
Isotropic cosmological singularities 2: The Einstein-Vlasov system
K. Anguige, K. P. Tod
We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. After developing the general theory, we restrict to sp…
Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes
K. Anguige, K. P. Tod
We consider the conformal Einstein equations for polytropic perfect fluid cosmologies which admit an isotropic singularity. For the polytropic index gamma strictly greater than 1 a…
Dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations which are locally rotationally symmetric
A. D. Rendall, K. P. Tod
The dynamics of a class of cosmological models with collisionless matter and four Killing vectors is studied in detail and compared with that of corresponding perfect fluid models.…
Trapped surfaces in prolate collapse in the Gibbons-Penrose construction
M. A. Pelath, K. P. Tod, Robert M. Wald
We investigate existence and properties of trapped surfaces in two models of collapsing null dust shells within the Gibbons-Penrose construction. In the first model, the shell is i…