On uniqueness of static spacetimes with non-trivial conformal scalar field

DOI10.1088/1361-6382/aa7906zbMath1373.83071arXiv1702.05682OpenAlexW2595535014MaRDI QIDQ4592663

Tetsuya Shiromizu, Yoshimune Tomikawa, Keisuke Izumi

Publication date: 7 November 2017

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05682

zbMATH Keywords

conformal scalar fieldblack holesscalar hairuniqueness of static spacetimes

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Exact solutions to problems in general relativity and gravitational theory (83C15)

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On static manifolds satisfying an overdetermined Robin type condition on the boundary ⋮ Lux in obscuro II: photon orbits of extremal AdS black holes revisited ⋮ Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land ⋮ Quasilocal mass in scalar–tensor gravity: spherical symmetry ⋮ Photon surfaces with equipotential time slices

Cites Work

• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• The geometry of photon surfaces
• Uniqueness of photon spheres in electro-vacuum spacetimes
• The uniqueness of the Bekenstein black hole
• On the uniqueness of the static black hole with conformal scalar hair
• Black Hole Uniqueness Theorems
• New no-scalar-hair theorem for black holes

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