MG14 - Talk detail

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Abstract

The framework that allows the study of isolated systems is well-developed for space-times with a vanishing cosmological constant $Lambda$ and it lies at the foundation of research in diverse areas in gravitational physics. However, observations suggest our universe is best described by $\Lambda > 0$. The standard extension of this framework to space-times with $Lambda > 0$ is physically uninteresting as there is no physically useful notion of fluxes of conserved quantities carried away by gravitational waves. I will illustrate this with linearized gravity. The linear analysis shows that conserved quantities can be constructed using the symplectic formulation which is used to obtain a modified quadrupole formula for gravitational radiation. This analysis provides a first step to estimate the corrections provided by $Lambda > 0$ when studying general relativistic gravitating systems.

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