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We provide a condition-based analysis of two interior-point methods for unconstrained geometric programs, a class of convex programs that arise naturally in applications including matrix scaling, matrix balancing, and entropy maximization.…

Optimization and Control · Mathematics 2020-08-28 Peter Bürgisser , Yinan Li , Harold Nieuwboer , Michael Walter

The neutral particle motion around rotating regular black hole that was derived from the Ay\'{o}n-Beato-Garc\'{i}a black hole solution by the Newman-Janis algorithm in the preceding paper [Phys. Rev. D 89, 104017, (2014)] has been studied.…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Bobir Toshmatov , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Zdenek Stuchlík

In this paper we present and analyze the simplest physically meaningful model for stationary black diholes - a binary configuration of counter-rotating Kerr-Newman black holes endowed with opposite electric charges - elaborated in a…

General Relativity and Quantum Cosmology · Physics 2015-11-09 V. S. Manko , R. I. Rabadán , J. D. Sanabria-Gómez

We derive an exact radiating Kerr-Newman like black hole solution, with constant curvature $R=R_0$ imposed, to {\it metric} $f(R)$ gravity via complex transformations suggested by Newman-Janis. This generates a geometry which is precisely…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sushant G. Ghosh , Sunil D. Maharaj , Uma Papnoi

Analytical solution of Weyl neutrino wave equation in Kerr geometry is presented by making use of the two-spinor component spin-coefficient Newman-Penrose (NP) calculus. So far only asymptotic or approximate solutions have been found for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

General Relativity and Quantum Cosmology · Physics 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

In this paper, we present an interior point algorithm with a full-Newton step for solving a linearly constrained convex optimization problem, in which we propose a generalization of the work of Kheirfam and Nasrollahi…

Numerical Analysis · Mathematics 2024-03-19 Aicha Kraria , Bachir Merikhi , Djamel Benterki

We investigate the existence of time-periodic solutions of the Dirac equation in the Kerr-Newman background metric. To this end, the solutions are expanded in a Fourier series with respect to the time variable $t$ and the Chandrasekhar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Monika Winklmeier , Osanobu Yamada

In this paper, an exact solution of Kerr black hole surrounded by a cloud of strings in Rastall gravity is obtained by Newman-Janis algorithm without complexification, and the influence of the string parameter $a_0$ on the black hole…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Zonghai Li , Tao Zhou

In this paper, we have computed the logarithmic corrections of entropy for the near-extremal Kerr-Newman black holes in $\mathcal{N}=2$ supergravity theory applying the Euclidean path integral approach in the near-horizon geometry. In the…

High Energy Physics - Theory · Physics 2025-02-26 Ashes Modak , Aditya Singh , Binata Panda

This paper addresses the challenge of solving large-scale nonlinear equations with H\"older continuous Jacobians. We introduce a novel Incremental Gauss--Newton (IGN) method within explicit superlinear convergence rate, which outperforms…

Optimization and Control · Mathematics 2024-07-04 Zhiling Zhou , Zhuanghua Liu , Chengchang Liu , Luo Luo

Physical arguments related with the existence of black hole solutions having a non trapping interior are discussed. Massive scalar fields interacting with gravity are considered. Interior asymptotic solutions showing a scalar field…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Alejandro Cabo , Eloy Ayon

The Janis-Newman algorithm has been shown to be successful in finding new sta- tionary solutions of four-dimensional gravity. Attempts for a generalization to higher dimensions have already been found for the restricted cases with only one…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Harold Erbin , Lucien Heurtier

A stochastic-gradient-based interior-point algorithm for minimizing a continuously differentiable objective function (that may be nonconvex) subject to bound constraints is presented, analyzed, and demonstrated through experimental results.…

Optimization and Control · Mathematics 2024-03-15 Frank E. Curtis , Vyacheslav Kungurtsev , Daniel P. Robinson , Qi Wang

The general form of the surface stress tensor of an infinitesimally thin shell located on a rotating null horizon is derived, when different interior and exterior geometries are joined there. Although the induced metric on the surface must…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Philip Beltracchi , Paolo Gondolo , Emil Mottola

We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

We show that a stationary solution of the Einstein-Maxwell equations which is close to a non-degenerate Reissner-Nordstr\"om-de Sitter solution is in fact equal to a slowly rotating Kerr-Newman-de Sitter solution. The proof uses the…

General Relativity and Quantum Cosmology · Physics 2020-05-28 Peter Hintz

Here we are starting the study of the field equations of relativistic scalar tensor theories in the spherically symmetric gravitational field. In the present article we shall consider as an example only the simplest Jordan-Brans-Dicke (JBD)…

General Relativity and Quantum Cosmology · Physics 2008-08-26 S. M. Kozyrev

This paper considers efficient spectral solutions for weakly singular nonlocal diffusion equations with Dirichlet-type volume constraints. The equation we consider contains an integral operator that typically has a singularity at the…

Numerical Analysis · Mathematics 2022-07-28 Jiashu Lu , Mengna Yang , Yufeng Nie

We consider the spherically symmetric Navier--Stokes--Korteweg (NSK) system on the exterior domain $\Omega=\{x\in\mathbb{R}^n~|~|x|>1\}$ with $n\ge2$ when the boundary and far-field data are given. We show that, if the boundary data are…

Analysis of PDEs · Mathematics 2026-05-11 Jeongho Kim