arXiv research

Researchers found the maximum number of holes in polyominoes grows proportionally to the dimension.

Researchers compute quasi-local mass of Kerr black hole horizon.

Using black-hole inequalities and the increase of the horizon's areas, we show that there are arbitrarily small electro-vacuum perturbations of the standard initial data of the extreme Reissner-Nordstrom black-hole that, (by contradiction), cannot decay in time into any extreme Kerr-Newman black-hole. This proves the e…

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…

Uniqueness theorem for extremal charged black holes in de Sitter space.

We study some aspects of spherical symmetric dyonic non-supersymmetric black holes in $4d \; N=1$ 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…

Proof of reverse isoperimetric inequality for black holes.

This paper describes the black hole threshold in a moduli space of spherically symmetric 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…

New construction of self-dual black holes using quadrics.

Introduces holed cone structures to generalize cone structures on 3-manifolds.

Researchers create black holes isometric to extremal Reissner-Nordström.

Adds charged black holes to de Sitter space.

Achieved all-orders worldline action for Kerr black hole.

Extreme black holes with $\SU(2)$ symmetry have a specific near horizon geometry.

Black holes offer insights into machine learning's loss landscapes.

New black hole models with both null and spacelike singularities.

Study proves inequality linking black hole properties and angular momentum.

A key result in four dimensional black hole physics, since the early 1970s, is Hawking's topology theorem asserting that the cross-sections of an "apparent horizon", separating the black hole region from the rest of the spacetime, are topologically two-spheres. Later, during the 1990s, by applying a variant of Hawking'…

The MAP estimate's log-likelihood sub-optimality is hard to bound in general.

New concept of k-holes in simple drawings and convex drawings.

Proves no-hair theorem for certain vacuum black holes.

Warped-product black hole spacetimes are $C^0$-inextendible.

The paper proves extremal black holes form at a critical point of gravitational collapse.

In this paper a lower bound for the ADM mass is given in terms of the angular momenta and charges of black holes present in axisymmetric initial data sets for the Einstein-Maxwell equations. This generalizes the mass-angular momentum-charge inequality obtained by Chrusciel and Costa to the case of multiple black holes.…

This paper explores charged black holes in 3+1 dimensions, finding limitations on their existence.

Study shows formation of Kerr black holes with complete apparent horizons and proves Penrose inequalities.

We show that if S is a finite type orientable surface of negative Euler characteristic which is not the 3-holed sphere, 4-holed sphere or 1-holed torus, then the ending lamination space of S is connected, locally path connected and cyclic.

Theorem proves topological censorship for universes with positive cosmological constant.

Effective action for Kerr-Newman black hole found in twistor theory.

Researchers found a way to measure energy in black hole perturbations.

Study finds minimum lengths of curves on a one-holed torus.

This work proves Kerr black holes are dynamically stable under certain perturbations.

It is expected that matter composed of a perfect fluid cannot be at rest outside of a black hole if the spacetime is asymptotically flat and static (non-rotating). However, there has not been a rigorous proof for this expectation without assuming spheical symmetry. In this paper, we provide a proof of non-existence of …

Paper proves uniqueness of black holes and photon surfaces in higher dimensions.

Maximal distortion between geodesic and Euclidean diameters in polygonal domains is studied.

Proves uniqueness of black holes in Lovelock gravity, a generalization of Einstein's theory.

Motivated by the Strong Cosmic Censorship Conjecture for asymptotically AdS spacetimes, we initiate the study of massive scalar waves satisfying $\Box_g ψ- μψ=0$ on the interior of Anti-de Sitter (AdS) black holes. We prescribe initial data on a spacelike hypersurface of a Reissner--Nordström--AdS black hole and impose…

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…

A new method detects small holes in noisy data.

We prove the global non-linear stability, without symmetry assumptions, of slowly rotating charged black holes in de Sitter spacetimes in the context of the initial value problem for the Einstein-Maxwell equations: If one perturbs the initial data of a slowly rotating Kerr-Newman-de Sitter (KNdS) black hole, then in a …

New black hole solutions cannot be rotated without breaking their structure.

We analyze the Ricci flow of a noncompact metric that describes a two-dimensional black hole. We consider entanglement entropy of a 2d black hole which is due to the quantum correlations between two subsystems: one is inside and the other is outside the black hole horizon. It is demonstrated that the entanglement entro…

New static black hole uniqueness theorems for negative cosmological constant.

We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every isometry of the Teichmuller space for S with the Weil-Petersson metric is induced by an element of the mapping class group for S. Our argument handles the previously untreated cases of the four-holed sphere, the one-holed torus, a…

Using ideas from an article of P. Bieliavsky, M. Rooman and Ph. Spindel on BTZ black holes, I construct a family of interesting examples of quasi-Poisson actions as defined by A. Alekseev and Y. Kosmann-Schwarzbach. As an application, I obtain a genuine Poisson structure on $SL(2,R)$ which induces a Poisson structure o…

Bartnik mass is positive and non-decreasing for black holes

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 $A$ should be at least $\sqrt{A/16π}$. An important special case of this physical statement translates into a very beautiful mathematical inequality in Riemann…