arXiv research

Study timelike bounce in charged null dust collapse, identifying key surfaces.

Study of convergence of point-object configurations to a charged dust continuum.

The paper proves existence of solutions for Einstein-type elliptic systems on AE manifolds.

Polluting fine dusts in South Korea which are mainly consisted of biomass burning and fugitive dust blown from dust belt is significant problem these days. Predicting concentrations of fine dust particles in Seoul is challenging because they are product of complicate chemical reactions among gaseous pollutants and also…

Match van Stockum dust to vacuum metrics with a single parameter.

Som-Raychaudhuri spacetime is a stationary cylindrical symmetric solution of Einstein field equation corresponding to a charged dust distribution in rigid rotation. The main object of the present paper is to investigate the curvature restricted geometric structures admitting by the Som-Raychaudhuri spacetime and it is …

The study proves strong cosmic censorship violation for spherically symmetric dust clouds.

3D dust map of the Milky Way improves resolution and accuracy.

Study of caustics in Einstein-dust system, showing spacetime singularities and diverging curvature.

A non-elementary Möbius group generated by two-parabolics is determined up to conjugation by one complex parameter and the parameter space has been extensively studied. In this paper, we use the results of \cite{GW} to obtain an additional structure for the parameter space, which we term the {\sl two-parabolic space}. …

We show that there are isometrically nonequivalent Robertson-Walker metrics which have the same set of geodesics. While one of these metrics satisfies the Einstein equations of pure dust without a cosmological constant, all the other describe pure dust with additional energy momentum tensor of cosmological constant typ…

Researchers create a Fredholm module on fractal shapes like the Cantor set.

Unified method for constructing non-vacuum initial data sets in general relativity.

The paper finds conditions for pseudosymmetric spacetimes to be perfect fluids.

Proposes MM-DUST for efficient generalized lasso solution paths.

We propose a geometric inequality for two-dimensional spacelike surfaces in the Schwarzschild spacetime. This inequality implies the Penrose inequality for collapsing dust shells in general relativity, as proposed by Penrose and Gibbons. We prove that the inequality holds in several important cases.

Study on charged parallel spinors and mass-charge inequalities.

Throughout the literature on the charged Riemannian Penrose inequality, it is generally assumed that there is no charged matter present; that is, the electric field is divergence-free. The aim of this article is to clarify when the charged Riemannian Penrose inequality holds in the presence of charged matter, and when …

Two approaches detect EV charging patterns at stations.

Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets

In this paper we investigate the extension of the charged Riemannian Penrose inequality to the case where charges are present outside the horizon. We prove a positive result when the charge densities are compactly supported, and present a counterexample when the charges extend to infinity. We also discuss additional ex…

Charge measurements for instantons and gravitational perturbations.

Researchers resolved ambiguities in gravitational radiation charges.

LUNAR uses cellular automata for real-time data classification in fast streams.

We present a proof of the Riemannian Penrose inequality with charge $r\leq m + \sqrt{m^2-q^2}$, where $A=4πr^2$ is the area of the outermost apparent horizon with possibly multiple connected components, $m$ is the total ADM mass, and $q$ the total charge of a strongly asymptotically flat initial data set for the Einste…

We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations admits a solution. It is also shown that the same reduction argument applies to …

An important problem in forensic analyses is identifying the provenance of materials at a crime scene, such as biological material on a piece of clothing. This procedure, known as geolocation, is conventionally guided by expert knowledge of the biological evidence and therefore tends to be application-specific, labor-i…

The paper proves positive energy-momentum theorems for charged AdS initial data sets.

Study of charged scalar fields on Reissner-Nordström spacetimes via energy estimates.

Electric vehicles (EVs) have been gaining popularity due to their environmental friendliness and efficiency. EV charging station networks are scalable solutions for supporting increasing numbers of EVs within modern electric grid constraints, yet few tools exist to aid the physical configuration design of new networks.…

Two oppositely charged droplets of (say) water in e.g. oil or air will tend to drift together under the influence of their charges. As they make contact, one might expect them to coalesce and form one large droplet, and this indeed happens when the charge difference is sufficiently small. However, Ristenpart et al disc…

In this paper, we prove conformal positive mass theorems for asymptotically flat manifolds with charge. We apply conformal relations to show that if the conformal sum of scalar curvature is not less than the norm square of electric field and electric density, the sum of the mass will not less than the modulus of total …

We prove a sharp inequality for hypersurfaces in the n-dimensional Anti-deSitter-Schwarzschild manifold for general n greater or equal to 3. This inequality generalizes the classical Minkowski inequality for surfaces in the three dimensional Euclidean space, and has a natural interpretation in terms of the Penrose ineq…

A universal inequality that bounds the charge of a body by its size is presented, and is proven as a consequence of the Einstein equations in the context of initial data sets which satisfy an appropriate energy condition. We also present a general sufficient condition for the formation of black holes due to concentrati…

Extends Young integral to Hölder differential forms in arbitrary dimensions.

Classifies charge-3 monopoles with symmetry, identifying new spectral curves.

Proof confirms cosmic censorship for charged gravitational collapse.

Researchers prove charged Penrose inequality and positive mass theorem for specific manifold types.

Second part of series studying charged scalar fields on Reissner--Nordström spacetimes.

Study shows how charged MOTS restrict spacetime configurations.

Positive energy theorems for spin initial data with charge in higher dimensions.

Study spin-0 fields on n-dimensional Minkowski spacetimes, computing asymptotic charges.

A federated graph learning approach improves EV charging demand forecasting while protecting against cyberattacks.

Cohomotopy charge quantization implies String structure on M5-branes.

Challenge forecasts EV charging station usage accurately.

Researchers extend topological classification to knotted semimetals in 3D.

Closed and broken electromagnetic orbits in Kerr-Newman spacetime

We propose a new definition for the abelian magnetic charge density of a non-abelian monopole, based on zero-modes of an associated Dirac operator. Unlike the standard definition of the charge density, this density is smooth in the core of the monopole. We show that this charge density induces a magnetic field whose ex…