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.
Researchers extend microlocal analysis across event horizons of rotating black holes.
The article discusses new horizons in black hole physics.
Extreme black holes with $\SU(2)$ symmetry have a specific near horizon geometry.
The paper proves the existence of a horizon for certain spacetimes.
We construct an example of a spherically symmetric black hole interior in which there is NO (spherically symmetric) marginally trapped tube asymptotic to the event horizon. The construction uses a self-gravitating massive scalar field matter model, and the key condition we impose is that the scalar field be bounded…
Study gluing event horizons of Minkowski and Schwarzschild spacetimes.
Classifies and analyzes the stability of black hole event horizon birth points using contact geometry.
Researchers create black holes isometric to extremal Reissner-Nordström.
New insights into black hole horizons from asymptotic expansions.
Hawking's theorem on the topology of black holes asserts that cross sections of the event horizon in 4-dimensional asymptotically flat stationary black hole spacetimes obeying the dominant energy condition are topologically 2-spheres. This conclusion extends to outer apparent horizons in spacetimes that are not necessa…
We show that a stationary asymptotically flat electro-vacuum solution of Einstein's equations that is everywhere locally "almost isometric" to a Kerr-Newman solution cannot admit more than one event horizon. Axial symmetry is not assumed. In particular this implies that the assumption of a single event horizon in Alexa…
In a recent paper (gr-qc/0509107) the author and Rick Schoen obtained a generalization to higher dimensions of a classical result of Hawking concerning the topology of black holes. It was proved that, apart from certain exceptional circumstances, cross sections of the event horizon, in the stationary case, and 'weakly …
We study a multiply warped products manifold associated with the Reissner-Nordstrom metric to investigate the physical properties inside the black hole event horizons. It is shown that, different from the uncharged Schwarzschild metric, the Ricci curvature components inside the Reissner-Nordstrom black hole horizons ar…
New theorem shows black holes are real, with clearer event horizon.
Stability of extremal Reissner-Nordström black holes proven in spherical symmetry.
In this paper, we provide an elementary, unified treatment of two distinct blue-shift instabilities for the scalar wave equation on a fixed Kerr black hole background: the celebrated blue-shift at the Cauchy horizon (familiar from the strong cosmic censorship conjecture) and the time-reversed red-shift at the event hor…
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…
New black hole solutions with lens space horizons in 5D Kaluza-Klein theory.
We consider the Cauchy problem for the massive Dirac equation in the non-extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise in Chandrasekhar's separation of variables. It is proved that for initial data in…
New black hole models with both null and spacelike singularities.
Study on black hole interiors with matter fields, showing oscillation condition impacts blow-up.
New concepts of barriers and black regions defined for Lorentzian manifolds.
We consider solutions to the linear wave equation on a suitable globally hyperbolic subset of an extreme Reissner-Nordstrom spacetime, arising from regular initial data prescribed on a Cauchy hypersurface crossing the future event horizon. We obtain boundedness, decay, non-decay and blow-up results. Our estimates hold …
Novel Hodge theory developed for Carrollian bundles, addressing black hole event horizons.
In a paper \cite{P} in 1973, R. Penrose made a physical argument that the total mass of a spacetime which contains black holes with event horizons of total area should be at least . An important special case of this physical statement translates into a very beautiful mathematical inequality in Riemann…
This paper describes the black hole threshold in a moduli space of spherically symmetric spacetimes.
Uniqueness theorem for extremal charged black holes in de Sitter space.
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…
Over the past three decades, black holes have played an important role in quantum gravity, mathematical physics, numerical relativity and gravitational wave phenomenology. However, conceptual settings and mathematical models used to discuss them have varied considerably from one area to another. Over the last five year…
New concept of Lorentzian-Euclidean black holes and metric transitions explored.
The information loss occurs in an evaporating black hole only if the time evolution ends at the singularity. But as we shall see, the black hole solutions admit analytical extensions beyond the singularities, to globally hyperbolic solutions. The method used is similar to that for the apparent singularity at the event …
We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction proceeds by solving a backwards scattering problem for the Einstein vacuum equations with characteristic data prescribed on the event horizon…
Proves no-hair theorem for certain vacuum black holes.
Researchers compute quasi-local mass of Kerr black hole horizon.
Study proves inequality linking black hole properties and angular momentum.
New approach simplifies proof of wave equations on black holes.
Study on curvature blow-up rates in black hole interiors from gravitational collapse.
We show that in any spacetime dimension , degenerate components of the event horizon do not exist in static vacuum configurations with positive cosmological constant. We also show that without a cosmological constant asymptotically flat solutions cannot possess a degenerate horizon component. Several independen…
Proof of reverse isoperimetric inequality for black holes.
We study the problem of stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. Specifically, we consider solutions to the linear wave equation on a suitable globally hyperbolic subset of such a spacetime, arising from regular initial data prescribed on a Cauchy hypersurface …
Study shows formation of Kerr black holes with complete apparent horizons and proves Penrose inequalities.
We show that axisymmetric extremal horizons are unstable under linear scalar perturbations. Specifically, we show that translation invariant derivatives of generic solutions to the wave equation do not decay along such horizons as advanced time tends to infinity, and in fact, higher order derivatives blow up. This resu…
New method detects black hole horizons using Lie algebra invariants.
In 1973, R. Penrose presented an argument that the total mass of a space-time which contains black holes with event horizons of total area should be at least . An important special case of this physical statement translates into a very beautiful mathematical inequality in Riemannian geometry known as …
Study of marginally trapped surfaces in a perturbed Schwarzschild spacetime.
We consider solutions to the linear wave equation on a non-extremal maximally extended Schwarzschild-de Sitter spacetime arising from arbitrary smooth initial data prescribed on an arbitrary Cauchy hypersurface. (In particular, no symmetry is assumed on initial data, and the support of the solutions may con…
New instantons show Einstein-Maxwell fields are more complex.
We study some aspects of spherical symmetric dyonic non-supersymmetric black holes in supergravity coupled to chiral and vector multiplets on Kähler-Ricci solitons. Then, we have a family of dyonic non-supersymmetric black holes deformed with respect to the flow parameter related to the Kähler-Ricci soliton…