A5066466215- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Geometric Analysis and Curvature Flows
- Advanced Differential Geometry Research
- Spectral Theory in Mathematical Physics
- advanced mathematical theories
- Quantum chaos and dynamical systems
- Advanced Mathematical Modeling in Engineering
- Relativity and Gravitational Theory
- Advanced Mathematical Physics Problems
- Geometry and complex manifolds
- Nonlinear Partial Differential Equations
- Nonlinear Waves and Solitons
- Pulsars and Gravitational Waves Research
- Matrix Theory and Algorithms
- Algebraic and Geometric Analysis
- Numerical methods in inverse problems
- Advanced Thermodynamics and Statistical Mechanics
- Quantum, superfluid, helium dynamics
- Stability and Controllability of Differential Equations
- Noncommutative and Quantum Gravity Theories
- Analytic and geometric function theory
- Holomorphic and Operator Theory
- Point processes and geometric inequalities
- Advanced Mathematical Theories and Applications
Ariel University
2013-2024
Stony Brook University
2017
Gakushuin University
2017
University of Alabama at Birmingham
1995-2013
Monash University
2011
Rutgers, The State University of New Jersey
1999
Stanford University
1990
Center for Brooklyn History
1967
Abstract We study asymptotically flat axially symmetric stationary solutions of the Einstein vacuum equations. These represent rotating black holes in equilibrium. The equations reduce outside axis symmetry to a harmonic map problem into hyperbolic plane, with prescribed rates blow‐up for on and at infinity as boundary conditions. prove existence uniqueness case zero total angular momentum.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTPreparation, properties, and racemization kinetics of copper(II)-Schiff base-amino acid complexes related to vitamin B6 catalysisG. N. Weinstein, M. J. O'Connor, R. H. HolmCite this: Inorg. Chem. 1970, 9, 2104–2112Publication Date (Print):September 1, 1970Publication History Published online1 May 2002Published inissue 1 September 1970https://pubs.acs.org/doi/10.1021/ic50091a029https://doi.org/10.1021/ic50091a029research-articleACS...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTSynthetic approaches to 14-, 15-, and 16-membered tetraaza macrocycles their metal complexesS. C. Tang, S. Koch, G. N. Weinstein, R. W. Lane, H. HolmCite this: Inorg. Chem. 1973, 12, 11, 2589–2595Publication Date (Print):November 1, 1973Publication History Published online1 May 2002Published inissue 1 November 1973https://pubs.acs.org/doi/10.1021/ic50129a020https://doi.org/10.1021/ic50129a020research-articleACS PublicationsRequest reuse...
We present a proof of the Riemannian Penrose inequality with charge in context asymptotically flat initial data sets for Einstein–Maxwell equations, having possibly multiple black holes no charged matter outside horizon, and satisfying relevant dominant energy condition. The is based on generalization Hubert Bray's conformal flow metrics adapted to this setting.
This is the second in a series of two papers to establish conjectured mass-angular momentum inequality for multiple black holes, modulo extreme hole 'no hair theorem'. More precisely it shown that either there counterexample uniqueness, form regular axisymmetric stationary vacuum spacetime with an asymptotically flat end and degenerate horizons which 'ADM minimizing', or following statement holds. Complete, simply connected, maximal initial data sets Einstein equations ends are cylindrical,...
The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is subset of axis symmetry, H^2_C complex hyperbolic plane. Motivated by this problem, we prove existence uniqueness maps R^n\Sigma H, submanifold R^n co-dimension at least 2, H classical Riemannian globally space noncompact type rank one. This result, when applied black hole yields solutions which can be interpreted as...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTGeneral synthetic routes to tetraaza macrocycles. Preparation of the corrin inner ring structureS. C. Tang, G. N. Weinstein, and R. H. HolmCite this: J. Am. Chem. Soc. 1973, 95, 2, 613–614Publication Date (Print):January 1, 1973Publication History Published online1 May 2002Published inissue 1 January 1973https://pubs.acs.org/doi/10.1021/ja00783a065https://doi.org/10.1021/ja00783a065research-articleACS PublicationsRequest reuse permissionsArticle...
The most general formulation of Penrose's inequality yields a lower bound for ADM mass in terms the area, charge, and angular momentum black holes. This is turn equivalent to an upper area remaining quantities. In this note, we establish single hole setting axisymmetric maximal initial data sets Einstein-Maxwell equations, when non-electromagnetic matter fields are not charged satisfy dominant energy condition. It shown that saturated if only arise from extreme Kerr-Newman spacetime. Further...
In this paper, we show how a natural coupling of the Dirac equation with generalized Jang leads to proof rigidity statement in positive mass theorem charge, without maximal slicing condition, provided solution coupled system exists.
Abstract We continue our study, begun in [7], into the stationary axisymmetric solutions of Einstein vacuum equations containing two (or more) black holes. This problem reduces to an elliptic system nonlinear partial differential with prescribed blow‐up as boundary conditions. show existence reduced for any value five parameters problem. some regularity at poles horizons. Using this result, we simplify formula angle deficiency conical singularity on component axis symmetry between is be...
We study the force between rotating coaxial black holes, as it was defined in [9 and 10]. show that under a certain limit, is attractive, fact tends to infinity. This lends support conjecture always positive.
Let (M, g) be a classical Riemannian globally symmetric space of rank one and non-compact type.We prove the existence uniqueness solutions to Dirichlet problem for harmonic maps into with prescribed singularities along closed submanifold domain.This generalizes our previous work where such hyperbolic plane were constructed.This problem, in case is complex-hyperbolic plane, has applications equilibrium configurations co-axially rotating charged black holes General Relativity.
Is the space of initial data for Einstein vacuum equations connected? As a partial answer to this question, we prove following result: Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper M"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">M</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {M}</mml:annotation> </mml:semantics>...
We prove that a broad subset of the space asymptotically flat Riemannian metrics nonnegative scalar curvature on R 3 is connected using new method for prescribing generalizes developed by Bartnik quasi-spherical metrics.
We study the problem of asymptotically flat bi-axially symmetric stationary solutions vacuum Einstein equations in 5-dimensional spacetime. In this setting, cross section any connected component event horizon is a prime 3-manifold positive Yamabe type, namely 3-sphere S3, ring S1×S2, or lens space L(p, q). The reduce to an axially harmonic map with prescribed singularities from R3 into SL(3,R)/SO(3). paper, we solve for all possible topologies, and particular first candidates smooth...