A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Derives Kerr metric from two commuting complex structures.
The paper explores Kähler structures of Taub-NUT and Kerr spaces.
A generalisation of the four-dimensional Kerr-de Sitter metrics to include a NUT charge is well known, and is included within a class of metrics obtained by Plebanski. In this paper, we study a related class of Kerr-Taub-NUT-de Sitter metrics in arbitrary dimensions D \ge 6, which contain three non-trivial continuous p…
Classifies Ricci flat Lorentzian manifolds with Kerr-like optical structures.
A characterization of the Kerr-NUT-(A)de Sitter metric among four dimensional Λ-vacuum spacetimes admitting a Killing vector is obtained in terms of the proportionality of the self-dual Weyl tensor and a natural self-dual double two-form constructed from the Killing vector. This result recovers and extends a previous c…
We give the general Kerr-de Sitter metric in arbitrary spacetime dimension D\ge 4, with the maximal number [(D-1)/2] of independent rotation parameters. We obtain the metric in Kerr-Schild form, where it is written as the sum of a de Sitter metric plus the square of a null geodesic vector, and in generalised Boyer-Lind…
Study of Dirac fields on Kerr spacetimes using peeling method.
We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein vacuum equation: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure gauge term. We work in a natural wave map/DeTurck gauge and show that the pure gauge term …
Study finds necessary conditions for black hole geometries to asymptotically approach Kerr-de Sitter spacetime.
New methods for constructing null fluid metrics and solving optical lift conjectures.
We classify all spacetimes with a closed rank-2 conformal Killing-Yano tensor. They give a generalization of Kerr-NUT-de Sitter spacetimes. The Einstein condition is explicitly solved and written as an indefinite integral. It is characterized by a polynomial in the integrand. We briefly discuss the smoothness condition…
Carter tensor analysis aids wave equation on Kerr-Newman spacetime.
We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can be written in terms of these eigenvalues. In the uncharged case th…
It is shown that the Kerr-Newman solution, representing charged and rotating stationary black holes, admits analytic extension at the singularity. This extension is obtained by using new coordinates, in which the metric tensor becomes smooth on the singularity ring. On the singularity, the metric is degenerale - its de…
We study the Laplace spectra of the intrinsic instantaneous metrics on the event and cosmological horizons of a Kerr-Newman de Sitter space-time and prove that the spectral data from these horizons uniquely determine the space-time. This is accomplished by exhibiting formulae relating the parameters of the space-time m…
Constructs solutions of Einstein equations for black holes gluing along timelike geodesics.
Kahler geometry explains decoupling of Kerr perturbations.
A new infinite series of Einstein metrics is constructed explicitly on S^2 x S^3, and the non-trivial S^3-bundle over S^2, containing infinite numbers of inhomogeneous ones. They appear as a certain limit of a nearly extreme 5-dimensional AdS Kerr black hole. In the special case, the metrics reduce to the homogeneous E…
We study continuous groups of generalized Kerr-Schild transformations and the vector fields that generate them in any n-dimensional manifold with a Lorentzian metric. We prove that all these vector fields can be intrinsically characterized and that they constitute a Lie algebra if the null deformation direction is fixe…
New quasi-Einstein metrics found on a sphere.
We consider Kerr spacetimes with parameters a and M such that |a|<< M, Kerr-Newman spacetimes with parameters |Q|<< M, |a|<< M, and more generally, stationary axisymmetric black hole exterior spacetimes which are sufficiently close to a Schwarzschild metric with parameter M>0, with appropriate geometric assumptions on …
New proof of stability for expanding Kerr-de Sitter spacetimes with smoothness at the boundary.
Formally constructs metrics near timelike geodesics in vacuum spacetimes.
The geometry of five-dimensional Kerr black holes is discussed based on geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal space are naturally introduced by using special null geodesics. We show that the geodesics of AdS Kerr black hole are integrable, which generalizes the result of Frolov and…
We study geodesics along a noncompact Kerr-Newman instanton, where the asymptotic geometry is either de Sitter or anti-de Sitter. We use first integrals for the Hamilton-Jacobi equation to characterize trajectories both near and away from horizons. We study the interaction of geodesics with special features of the metr…
New construction of self-dual black holes using quadrics.
No time-periodic Majorana fermions found in Kerr-Newman spacetimes with nontrivial charge.
Achieved all-orders worldline action for Kerr black hole.
No closed timelike geodesics in Kerr spacetimes, proving absence of closed causal geodesics.
Global existence and decay for quasilinear wave equations on various spacetimes, including Kerr black holes.
We prove a perturbative result concerning the uniqueness of Kerr-Newman family of black holes: given an asymptotically flat space-time with bifurcate horizons, if it agrees with a non-extremal Kerr-Newman space-time asymptotically flat at infinity and it is sufficiently close to the Kerr-Newman family, then the space-t…
Proves analyticity of quasinormal modes in Kerr and Kerr-de Sitter spacetimes.
Null geodesics in Kerr spacetimes cannot be closed or bounded.
Characterizes Kerr spacetimes using conformal methods.
Effective action for Kerr-Newman black hole found in twistor theory.
Locally symplectic structure found on Kerr space-time.
Study axisymmetric waves on extremal Kerr spacetime using physical-space estimates.
Study constructs scattering theory for massless Dirac field on Kerr spacetime.
Study of rotating gravastars with de Sitter interiors and Kerr exteriors.
We show that the conformal structure for the Riemannian analogues of Kerr black-hole metrics can be given an ambitoric structure. We then discuss the properties of the moment maps. In particular, we observe that the moment map image is not locally convex near the singularity corresponding to the ring singularity in the…
Study shows formation of Kerr black holes with complete apparent horizons and proves Penrose inequalities.
Study proves curvature estimates for Kerr spacetime's linearized perturbations.
This is a follow-up of our paper \cite{KS-Kerr1} on the construction of general covariant modulated (GCM) spheres in perturbations of Kerr, which we expect to play a central role in establishing their nonlinear stability. We reformulate the main results of that paper using a canonical definition of modes on a …
Kerr spacetimes without closed null geodesics for non-zero rotation.
We initiate a series of works where we study the interior of dynamical rotating vacuum black holes without symmetry. In the present paper, we take up the problem starting from appropriate Cauchy data for the Einstein vacuum equations defined on a hypersurface already within the black hole interior, representing the exp…
Quantum Kerr learning shows enhancements in convergence and generalization for kernel-based methods.
Classifies 4D toric Hermitian ALF metrics with conical singularities.
Proves rigidity of extremal Kerr-Newman horizons.