Mass loss due to gravitational waves with a cosmological constant
The theoretical basis for the energy carried away by gravitational waves that an isolated gravitating system emits was first formulated by Hermann Bondi during the 1960s. Recent findings from looking at distant supernovae reveal that the rate of expansion of our Universe is accelerating, which may be well-explained by including a positive cosmological constant into the Einstein field equations for general relativity. By solving the Newman-Penrose equations (which are equivalent to the Einstein field equations), we generalise this notion of Bondi mass-energy and thereby provide a firm theoretical description of how an isolated gravitating system loses energy as it radiates gravitational waves in a Universe that expands at an accelerated rate.
Advisor: Frauendiener, Joerg; Hennig, Joerg
Degree Name: Doctor of Philosophy
Degree Discipline: Mathematics and Statistics
Publisher: University of Otago
Keywords: gravitational waves; mass-loss formula; Bondi-Sachs mass; cosmological constant; de Sitter; null infinity
Research Type: Thesis