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Inverse square law of gravitation in (2 + 1)-dimensional space–time as a consequence of Casimir energy
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A conformally coupled scalar field in Schwarzschild-(A)dS3 produces a Casimir effect with negative energy density such that, upon solving the semi-classical Einstein equations, the linear order change to the tt-component of the metric in static patch coordinates goes like δg_tt = 2L_P F(M)/r.
“For example, a conformally coupled scalar field in Schwarzschild-(A)dS 3 produces a Casimir effect with negative energy density such that, upon solving the semi-classical Einstein equations (1.1), the linear order change to the tt-component of the metric in static patch coordinates goes like [32,33] δg tt = 2L P F (M ) r , (1.3)”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [33]
δg_tt > 0, indicating gravitational attraction.
“Notably, δg tt > 0, indicating gravitational attraction [32,33].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [33]
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Research works printed but not linked: 17
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Three-Dimensional Quantum Black Holes: A Primer
Panella, E., Pedraza, J. F., & Svesko, A. (2024) · Universe · doi:10.3390/universe10090358 · Cited by 24
Metadata
- Authors
- Soleng, H. H.
- Venue
- Physica Scripta
- Publisher
- IOP Publishing
- Published
- 1993-12-01
- Volume
- 48
- Issue
- 6
- Pages
- 649-652
- ISSN
- 0031-8949
- 1402-4896
- Cited by
- 11
- References
- 0
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