The ξ R φ² non-minimal coupling produces a leading r^{-4} long-range gravitational potential from one-loop 2-2 scattering amplitudes in perturbative quantum gravity with vanishing cosmological constant, with explicit spin dependence for other fields.
de Sitter black hole with a conformally coupled scalar field in four dimensions
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A four-dimensional black hole solution of the Einstein equations with a positive cosmological constant, coupled to a conformal scalar field, is given. There is a curvature singularity at the origin, and scalar field diverges inside the event horizon. The electrically charged solution, which has a fixed charge-to-mass ratio is also found. The quartic self-interacting coupling becomes bounded in terms of Newton's and the cosmological constants.
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hep-th 3roles
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A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.