Lemaitre model and cosmic mass
Valerio Faraoni (Bishop's University)
TL;DR
This paper examines the mass of a spherically symmetric universe in the Lemaitre model using quasi-local energy concepts, clarifying ambiguities and relating different energy currents.
Contribution
It clarifies the definition of mass in the Lemaitre universe and links the Cahill-McVittie current to the Kodama energy current.
Findings
Mass definition clarified using Hawking-Hayward energy
Cahill-McVittie current shown to be proportional to Kodama current
Ambiguities in spherically symmetric mass are resolved
Abstract
The mass of a sphere of simmetry in the Lemaitre universe is discussed using the Hawking-Hayward quasi-local energy and clarifying existing ambiguities. A covariantly conserved current introduced by Cahill and McVittie is shown to be a multiple of the Kodama energy current.
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