Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy

Details Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy

1993-10-04

arxiv.org/abs/gr-qc/9310007v1

Phys.Scripta 48:649-652,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX, Report: UPR-0540-T, To appear in Physica Scripta

Scientific paper

10.1088/0031-8949/48/6/002

The gravitational effect of vacuum polarization in space exterior to a particle in (2+1)-dimensional Einstein theory is investigated. In the weak field limit this gravitational field corresponds to an inverse square law of gravitational attraction, even though the gravitational mass of the quantum vacuum is negative. The paradox is resolved by considering a particle of finite extension and taking into account the vacuum polarization in its interior.

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