Higher-dimensional electric-magnetic photon sphere uniqueness
arXiv:2508.06099 · doi:10.1103/y6b3-zhqz
Abstract
In our paper we pay attention to the problem of uniqueness (classification) of higher-dimensional electro-magnetic static, asymptotically flat, non-extremal solutions of multi-dimensional Einstein (n-2)-form gauge field gravity theory, which possess a photon sphere. The photon sphere is uniquely described by its asymptotic data. Conformal positive energy theorem is the key tool in the proof.
RevTex 21 pages, to be published in Phys.Rev. D15
References in corpus (34)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
- First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
- Uniqueness and non-uniqueness of static black holes in higher dimensions
- Uniqueness of (dilatonic) charged black holes and black p-branes in higher dimensions
- Uniqueness of photon spheres in electro-vacuum spacetimes
- Aspherical Photon and Anti-Photon Surfaces
- On the Size of Rotating Black Holes
- Extension of photon surfaces and their area: Static and stationary spacetimes
- Area bound for a surface in a strong gravity region
- Transversely trapping surfaces: Dynamical version
- Uniqueness of the static Einstein-Maxwell spacetimes with a photon sphere
- Completing characterization of photon orbits in Kerr and Kerr-Newman metrics
- Metamorphoses of a photon sphere
- Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant
- Photon trapping in static axially symmetric spacetime
- Uniqueness of static photon surfaces: Perturbative approach
- Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
- Photon surfaces in less symmetric spacetimes
- Universal bounds on the size of a black hole
- Photon regions and umbilic conditions in stationary axisymmetric spacetimes
- Uniqueness of higher-dimensional phantom field wormholes
- Killing tensors and photon surfaces in foliated spacetimes
- Photon surfaces with equipotential time-slices
- On uniqueness of static spacetimes with non-trivial conformal scalar field
- Uniqueness of charged static asymptotically flat black holes in dynamical Chern-Simons gravity
- Photon sphere uniqueness in higher-dimensional electrovacuum spacetimes
- Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton wormholes
- Classification of static asymptotically flat spacetimes with a photon sphere in Einstein-multiple-scalar field theory
- Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
- Geometry and topology of the Kerr photon region in the phase space
- Trapped photons in Schwarzschild-Tangherlini spacetimes
- Uniqueness of photon sphere for Reissner-Nordström electric-magnetic system