# Killing Tensor and Carter Constant for Painlevé–Gullstrand Form of Lense–Thirring Spacetime

@article{Baines2021KillingTA, title={Killing Tensor and Carter Constant for Painlev{\'e}–Gullstrand Form of Lense–Thirring Spacetime}, author={Joshua Baines and Thomas Berry and Alex Simpson and Matt Visser}, journal={Universe}, year={2021} }

Recently, the authors have formulated and explored a novel Painlevé–Gullstrand variant of the Lense–Thirring spacetime, which has some particularly elegant features, including unit-lapse, intrinsically flat spatial 3-slices, and some particularly simple geodesics—the “rain” geodesics. At the linear level in the rotation parameter, this spacetime is indistinguishable from the usual slow-rotation expansion of Kerr. Herein, we shall show that this spacetime possesses a nontrivial Killing tensor…

## 18 Citations

### Geodesics for the Painlevé–Gullstrand form of Lense–Thirring Spacetime

- Physics, MathematicsUniverse
- 2022

Recently, the current authors have formulated and extensively explored a rather novel Painlevé–Gullstrand variant of the slow-rotation Lense–Thirring spacetime, a variant which has particularly…

### Constant-r geodesics in the Painlevé–Gullstrand form of Lense–Thirring spacetime

- PhysicsGeneral Relativity and Gravitation
- 2022

Herein we explore the non-equatorial constant-r (“quasi-circular”) geodesics (both timelike and null) in the Painlevé–Gullstrand variant of the Lense–Thirring spacetime recently introduced by the…

### Generalized Lense-Thirring metrics: higher-curvature corrections and solutions with matter

- PhysicsJournal of High Energy Physics
- 2022

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…

### Slowly rotating black holes with exact Killing tensor symmetries

- PhysicsPhysical Review D
- 2022

We present a novel family of slowly rotating black hole solutions in four, and higher dimensions, that extend the well known Lense–Thirring spacetime and solve the field equations to linear order in…

### Painlevé–Gullstrand coordinates versus Kerr spacetime geometry

- PhysicsGeneral Relativity and Gravitation
- 2022

We discuss the tension between the possible existence of Painlevé–Gullstrand coordinate systems versus the explicit geometrical features of the Kerr spacetime; a subject of interest to Professor…

### Charged black-bounce spacetimes

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2021

Given the recent development of rotating black-bounce-Kerr spacetimes, for both theoretical and observational purposes it becomes interesting to see whether it might be possible to construct…

### Cosmology in Painlevé-Gullstrand coordinates

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- 2022

Cosmology is most typically analyzed using standard co-moving coordinates, in which the galaxies are (on average, up to presumably small peculiar velocities) “at rest”, while “space” is expanding.…

### Physically motivated ansatz for the Kerr spacetime

- PhysicsClassical and Quantum Gravity
- 2022

Despite some 60 years of work on the subject of the Kerr rotating black hole there is as yet no widely accepted physically based and pedagogically viable ansatz suitable for deriving the Kerr…

### General-relativistic thin-shell Dyson megaspheres

- PhysicsPhysical Review D
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: Loosely inspired by the somewhat fanciful notion of detecting an arbitrarily advanced alien civilization, we consider a general-relativistic thin-shell Dyson mega-sphere completely enclosing a…

### Astrophysically viable Kerr-like spacetime -- into the eye of the storm

- Physics
- 2021

We analyse a rotating regular black hole with asymptotically Minkowski core. This Kerr-like geometry possesses the full “Killing tower” of nontrivial Killing tensor, Killing-Yano tensor, and…

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