Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
arXiv:2112.07649 · doi:10.1007/JHEP04(2022)070
Abstract
The Lense--Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the corresponding static (Schwarzschild) solution. In this paper, we introduce a generalization of the Lense--Thirring spacetimes to the higher-dimensional multiply-spinning case, with an ansatz that is not necessarily fully characterized by a single (static) metric function. This generalization lets us study slowly rotating spacetimes in various higher curvature gravities as well as in the presence of non-trivial matter. Moreover, the ansatz can be recast in Painlev{é}--Gullstrand form (and thence is manifestly regular on the horizon) and admits a tower of exact rank-2 and higher rank Killing tensors that rapidly grows with the number of dimensions. In particular, we construct slowly multiply-spinning solutions in Lovelock gravity and notably show that in four dimensions Einstein gravity is the only non-trivial theory amongst all up to quartic curvature gravities that admits a Lense--Thirring solution characterized by a single metric function.
arXiv commentv2: Generalized metric ansatz, added refs, improved notation. 17 pages and 2 appendices
References in corpus (53)
- Observational Evidence of AGN Feedback
- P-V criticality of charged AdS black holes
- Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
- Black hole chemistry: thermodynamics with Lambda
- Rotating Charged Black Hole Solution in Heterotic String Theory
- Reentrant Phase Transitions in Rotating AdS Black Holes
- General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- The distribution and cosmic evolution of massive black hole spins
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- Black Holes in Quasi-topological Gravity
- Horndeski Gravity as Limit of Gauss-Bonnet
- A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
- Regular coordinate systems for Schwarzschild and other spherical spacetimes
- On Taking the limit of Gauss-Bonnet Gravity: Theory and Solutions
- Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
- Black holes, hidden symmetries, and complete integrability
- Slowly rotating black holes in alternative theories of gravity
- Black holes in an Effective Field Theory extension of GR
- Leading higher-derivative corrections to Kerr geometry
- Generalized quasi-topological gravity
- (Generalized) quasi-topological gravities at all orders
- Quintessential Quartic Quasi-topological Quartet
- On black holes in higher-derivative gravities
- Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
- All higher-curvature gravities as Generalized quasi-topological gravities
- Geometric Inflation
- Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
- Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces
- Towards geometric inflation: the cubic case
- Generalized Killing-Yano equations in D=5 gauged supergravity
- Generalized hidden symmetries and the Kerr-Sen black hole
- Are ultra-spinning Kerr-Sen-AdS black holes always super-entropic ?
- Universality of squashed-sphere partition functions
- Astrophysical constraints on compact objects in 4D Einstein-Gauss-Bonnet gravity
- Slowly rotating black holes in Einsteinian cubic gravity
- NUTs and bolts beyond Lovelock
- Some Spacetimes with Higher Rank Killing-Stackel Tensors
- Spacetime Encodings II - Pictures of Integrability
- Extremal Rotating Black Holes in Einsteinian Cubic Gravity
- The Chern-Simons Caps for Rotating Black Holes
- Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
- Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity
- Partition functions on slightly squashed spheres and flux parameters
- Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
- Ricci-flat spacetimes admitting higher rank Killing tensors
- Light bending by a slowly rotating source in quadratic theories of gravity
- Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors
- Rotating Solutions in Critical Lovelock Gravities
- Supergravity, complex parameters and the Janis-Newman algorithm
- Simply rotating higher dimensional black holes in Einstein-Gauss-Bonnet theory
- Slowly rotating black holes in Quasi-topological gravity
- Slowly rotating black holes with exact Killing tensor symmetries
- Kerr-Schild Ansatz in Lovelock Gravity