5 citations · 7 across the 2 of their papers we have counts for
5 papers
Readings of the Lichnerowicz-York equation
Niall O Murchadha
James York, in a major extension of André Lichnerowicz's work, showed how to construct solutions to the constraint equations of general relativity. The York method consists of choo…
General Relativity from the three dimensional linear group
Niall O Murchadha
This letter describes a novel derivation of general relativity by considering the (non)self-consistency of theories whose Hamiltonians are constraints. The constraints, from Hamilt…
The Constraints in Spherically Symmetric General Relativity III --- Identifying the Configuration Space:
Jemal Guven, Niall Ó Murchadha
We continue our examination of the constraints in spherically symmetric general relativity begun in I (gr-qc/9411009) and II (gr-qc/9411010). We extend to general configurations wi…
Brill Waves
Niall Ó Murchadha
Brill waves are the simplest (non-trivial) solutions to the vacuum constraints of general relativity. They are also rich enough in structure to allow us believe that they capture,…
A Quasilocal Test of the Finiteness of the Universe
Edward Malec, Niall Ó Murchadha
The Cosmological Principle states that the universe is both homogeneous and isotropic. This, alone, is not enough to specify the global geometry of the spacetime. If we were able t…