Rotating, charged, and uniformly accelerating mass in general relativity
1976/05/01 by J.F Plebanski, Jerzy Plebański, M Demianski +1 · 764 citations
Physics and Astronomy · #Acceleration #Angular momentum #Astrophysics and Cosmic Phenomena #Axial symmetry #Classical mechanics #Einstein field equations #Field (mathematics) #General relativity #Geometry #Kerr metric #Mathematical physics #Negative mass #Physics #Quantum and Classical Electrodynamics #Quantum mechanics #Solar and Space Plasma Dynamics #Spacetime #Symmetry (geometry)
paper · doi:10.1016/0003-4916(76)90240-2
published in Annals of Physics 98(1), 98-127 (Elsevier BV)
openalex publication_date 1976/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
Citations
Cited by
- Plebanśki–Demiański à la Ehlers–Harrison: exact rotating and accelerating type I black holes
- Kerr--NUT--Levi-Civita geometries from Ernst inversion: axis structure, curvature singularities, and the Manko--Ruiz parameter
- Resolved Maxwell-Boundary Normal Forms and Exact Reentrant Scaling in Accelerating AdS Black Holes
- Axial Obstructions to Rotating Bumblebee Vacuum Solutions
- A unified expansion of Einstein's gravity
- Accelerating electrically charged ModMax black hole solutions in F(R) gravity
- Black hole chemistry: The first 15 years
- Thermodynamic law and holography dual of accelerating and rotating black hole in Nariai limit
- Odd-dimensional Extremal Rotating Black Holes with All Equal Angular Momenta and Small Electric Charges
- Kerr-Bertotti-Robinson Spacetime and the Kerr/CFT Correspondence
- Conserved quantities and integrability for massless spinning particles in general relativity
- Integrability, Einstein spaces and holographic fluids
- Tau--Function Multilinear Hierarchy of the Tomimatsu--Sato Spacetime: A Gravitational Realization of the YTSF Integrable Structure
- Extending the isolated horizon phase space to string-inspired gravity models
- Various metric forms of all type D black holes and their application
- A new look at the Plebanski-Demianski family of solutions
- Exploring the accelerating black holes from the observations of quasi-periodic oscillations in X-ray binaries
- Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
- Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation
- Poincaré-Einstein 4-manifolds with conformally Kähler geometry
- Null integrability and photon phenomenology in the accelerated Schwarzschild black hole
- de Sitter Black Holes, Schottky Peaks, and Continuous Heat Engines
- Generalized accelerating Kerr-Newman-NUT-de Sitter black holes
- Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
- A quasilocal Hamiltonian for gravity with classical and quantum applications
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- M2-brane partition functions and HD supergravity from equivariant volumes
- Energy extraction from the accelerating Kerr black hole via magnetic reconnection in the plunging region and circular orbit region
- Precession of spherical orbits for the spacetime without ℤ2 symmetry induced by NUT charge
- New class of rotating charged black holes with nonaligned electromagnetic field
- Charged Taub-NUT type Black Holes in Einstein-Weyl-Maxwell Theory
- Conical singularity in spacetimes with NUT is observer-dependent
- Constraints on extra charges in dyonic Kerr-Newman-Kasuya-Taub-NUT black hole from the observations of quasi-periodic oscillations
- Algebraically special perturbations of the Kerr black hole: a metric formulation
- Kerr black hole in a uniform Bertotti-Robinson magnetic field: An exact solution
- f(R) Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools
- Exact Hairy Black Holes
- Charged rotating quantum black holes
- Four-function generalization and separable structures of the Plebanski spacetime with sources
- Cosmological Constant Effect on Charged and Rotating Black Hole Shadows
- The curvature of almost Robinson manifolds
- A new exact rotating spacetime in vacuum: The Kerr--Levi-Civita Spacetime
- A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
- Black hole photon ring beyond General Relativity: an integrable parametrization
- Supersymmetric localisation of N=(2,2) theories on a spindle
- New framework for classical double copies
- Some Gravitational Instantons
- Rotating Topological Black Holes
- Magnetised Bounds for Conformal Field Theories
- On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
- Black ring with a positive cosmological constant
- Accelerating Taub-NUT and Eguchi-Hanson solitons in four dimensions
- Supersymmetry of anti-de Sitter black holes
- Heun equation, Teukolsky equation, and type-D metrics
- Entanglement Islands, Page curves and Phase Transitions of Kerr-AdS Black Holes
- A new form of the C-metric
- Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
- Quasinormal modes of black holes localized on the Randall-Sundrum 2-brane
- New black holes in five dimensions
- Accelerating black holes in anti-de Sitter universe
- Radiation from accelerated black holes in an anti–de Sitter universe
- Cosmological pair production of charged and rotating black holes
- Symmetries of asymptotically flat electrovacuum space–times and radiation
- Weyl card diagrams
- On higher dimensional Einstein spacetimes with a warped extra dimension
- General Kerr–NUT–AdS metrics in all dimensions
- C-metrics in gauged STU supergravity and beyond
- Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: Analytical solutions
- Energy of general four-dimensional stationary axisymmetric spacetime in the teleparallel geometry
- An axially symmetric solution of metric-affine gravity
- Expanding perfect fluid generalizations of theCmetric
- Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics
- Physical interpretation of vacuum solutions of Einstein's equations. Part I. Time-independent solutions
- Thermodynamics and Holographic RG Flow in 3D C-metric
- C-metric solution for conformal gravity with a conformally coupled scalar field
- Co-accelerated particles in the C-metric
- On a regular modified C-metric
- DynamicCmetrics in gauged supergravities
- Pair of accelerated black holes in an anti–de Sitter background: The AdSCmetric
- Charged C-metric with conformally coupled scalar field
- Maximum force and cosmic censorship
- The gravity dual of supersymmetric gauge theories on a two-parameter deformed three-sphere
- Chaotic motion of particles in the accelerating and rotating black holes spacetime
- Pair production of topological anti-de Sitter black holes
- Greybody radiation of scalar and Dirac perturbations of NUT black holes
- Petrov classification and holographic reconstruction of spacetime
- Interpreting A and B metrics with Λ as gravitational field of a tachyon in an (anti–)de Sitter universe
- Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
- The CPR black hole with acceleration
- Supersymmetry of topological Kerr-Newman-Taub- NUT- adS spacetimes
- Uniformly accelerated black holes
- Photon regions and shadows of Kerr-Newman-NUT black holes with a cosmological constant
- Heun-type solutions for Schwarzschild metric with electromagnetic fields
- Coulomb fields as perturbations of type D vacuum space-times
- Vorticesin(2+1)d conformal fluids
- Killing-Yano Cotton Currents
- Symmetries of the Robinson-Trautman equation
- Rainich theory for type D aligned Einstein–Maxwell solutions
- 4d N = 2 supergravity observables from Nekrasov-like partition functions
- Higher-dimensional black holes with multiple equal rotations
- Compact singularity-free Kerr–Newman–de Sitter instantons
- Black holes, hidden symmetries, and complete integrability. [europepmc]
- Magnetized Kerr-Newman-Taub-NUT spacetimes. [europepmc]
- Static and stationary dark fluid universes: a gravitoelectromagnetic perspective. [europepmc]
- Correction to the Entropy of a Charged Rotating Accelerated Black Hole Due to Lorentz Invariance Violation. [europepmc]