On a Quasi-Local Energy Outside the Cosmological Horizon

Details On a Quasi-Local Energy Outside the Cosmological Horizon On a Quasi-Local Energy Outside the Cosmological Horizon

1995-07-11

arxiv.org/abs/gr-qc/9507022v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, uuencode compressed latex

Scientific paper

We investigate a quasi-local energy naturally introduced by Kodama's prescription for a spherically symmetric space-time with a positive cosmological constant $\Lambda$. We find that this quasi-local energy is well behaved inside a cosmological horizon. However, when there is a scalar field with a long enough Compton wavelength, the quasi-local energy diverges in the course of its time evolution outside the cosmological horizon. This means that the quasi-local energy has a meaning only inside the cosmological horizon.

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