Quadratic gravity in (2+1)D
20018 pages
Published in:
- Mod.Phys.Lett.A 16 (2001) 1449-1456
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Abstract: (WSP)
Quadratic gravity in (2+1)D, unlike three-dimensional Einstein's gravity, is locally nontrivial and has an extremely well-behaved potential. Here we explore the gravitational properties of a metric generated by a pointlike matter distribution within the context of three-dimensional linearized quadratic gravity. This metric greatly resembles the four-dimensional metric of a straight U(1)-gauge cosmic string in the framework of linearized quadratic gravity. It is found that a gravitational force is exerted on a slowly moving test particle, a feature not present in general relativity in (2+1)D. It is also found that the massive scalar mode does not contribute anything to the gravitational deflection. An explanation for this fact is provided.- gravitation: model
- dimension: 3
- space-time
- causality
- renormalization
- effective potential: nonrelativistic
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