arXiv subjects

P. T. Chruściel

Publications and source records attributed to P. T. Chruściel.

6 recordsLinked to original sources

arXiv2021

On the canonical energy of weak gravitational fields with a cosmological constant $Λ\in \mathbb{R}$

We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When $Λ>0$ the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman-Bondi mass proposed in [13].

gr-qc↗

arXiv2021

Energy of weak gravitational waves in spacetimes with a positive cosmological constant

We derive a formula for the total canonical energy, and its flux, of weak gravitational waves on a de Sitter background.

gr-qc↗

arXiv2017

Compact singularity-free Kerr-Newman-de Sitter instantons

Generalising arXiv:1511.08496, we construct further families of compact Einstein-Maxwell instantons associated with the Kerr-Newman metrics with a positive cosmological constant.

hep-th↗

arXiv2017

Shielding linearised gravity

We present an elementary argument that one can shield linearised gravitational fields using linearised gravitational fields. This is done by using third-order potentials for the metric, which avoids the need to solve singular equations in shielding or gluing constructions for the linearised metric.

gr-qc↗

arXiv2016

Exotic hyperbolic gluings

We carry out "exotic gluings" a la Carlotto-Schoen for asymptotically hyperbolic general relativistic initial data sets. In particular we obtain a direct construction of non-trivial initial data sets which are exactly hyperbolic in large regions extending to conformal infinity.

math.DG↗

arXiv1996

The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum

We give a complete classification of all connected isometry groups, together with their actions in the asymptotic region, in asymptotically flat, asymptotically vacuum space--times with timelike ADM four--momentum.

gr-qc↗