X iv : g r - qc / 0 10 50 88 v 3 8 O ct 2 00 2 A family of heavenly metrics

ar X iv : g r - qc / 0 10 50 88 v 1 2 4 M ay 2 00 1 A family of heavenly metrics

The antecedent of Einstein field equations with Euclidean signature is the complex elliptic Monge-Ampère equation, CMA2. For elliptic CMA2 solutions determine hyper-Kähler, self-dual and therefore Ricci-flat metrics with Euclidean signature. We shall consider a symmetry reduction of CMA2 to solutions that admit only a single Killing vector. Systematic studies of vacuum metrics with one Killing ...

r - qc / 0 10 50 88 v 2 4 J un 2 00 1 A family of heavenly metrics

The antecedent of Einstein field equations with Euclidean signature is the complex elliptic Monge-Ampère equation, CMA2. For elliptic CMA2 solutions determine hyper-Kähler, self-dual and therefore Ricci-flat metrics with Euclidean signature. We shall consider a symmetry reduction of CMA2 to solutions that admit only a single Killing vector. Systematic studies of vacuum metrics with one Killing ...

- qc / 0 10 50 88 v 4 9 O ct 2 00 2 A family of heavenly metrics

Non-invariant solutions of the Boyer-Finley equation determine exact solutions of the Einstein field equations with only one rotational Killing vector. For the case of Euclidean signature such a metric was constructed by Calderbank and Tod. Recently Martina, Sheftel and Winternitz applied the method of group foliation to the Boyer-Finley equation and reproduced the Calderbank-Tod solution toget...

ar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect

ar X iv : g r - qc / 0 31 00 49 v 1 8 O ct 2 00 3 Binary Neutron Star Inspiral Search in LIGO S 1

We describe the search for gravitational waves from inspiraling neutron star binary systems, using data from the first Scientific Run of the LIGO Science Collaboration.