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7 papers · 1 filter
The Momentum Constraints of General Relativity and Spatial Conformal Isometries
R. Beig, N. Ó Murchadha
Transverse-tracefree (TT-) tensors on , with an asymptotically flat metric of fast decay at infinity, are studied. When the source tensor from which th…
The Constraints in Spherically Symmetric General Relativity II --- Identifying the Configuration Space: A Moment of Time Symmetry
Jemal Guven, Niall Ó Murchadha
We continue our investigation of the configuration space of general relativity begun in I (gr-qc/9411009). Here we examine the Hamiltonian constraint when the spatial geometry is m…
The Constraints in Spherically Symmetric General Relativity I --- Optical Scalars, Foliations, Bounds on the Configuration Space Variables and the Positivity of the Quasi-Local Mass
Jemal Guven, Niall Ó Murchadha
We examine the constraints of spherically symmetric general relativity with one asymptotically flat region, exploiting both the traditional metric variables and variables construct…
Harmonic maps between three-spheres
Piotr Bizoń
It is shown that smooth maps contain two countable families of harmonic representatives in the homotopy classes of degree zero and one.
Optical scalars in spherical spacetimes
E. Malec, N. Ó Murchadha
Consider a spherically symmetric spacelike slice through a spherically symmetric spacetime. One can derive a universal bound for the optical scalars on any such slice. The only req…
Event horizons and apparent horizons in spherically symmetric geometries
Edward Malec
Spherical configurations that are very massive must be surrounded by apparent horizons. These in turn, when placed outside a collapsing body, have a fixed area and must propagate o…