D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 39 Citations 5,993 89 World Ranking 1096 National Ranking 497

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • General relativity

His primary scientific interests are in Mathematical physics, Mathematical analysis, Spacetime, Singularity and Einstein field equations. His Mathematical physics study combines topics in areas such as Gravitational singularity and Classical mechanics. His Gravitational singularity research incorporates elements of Hamiltonian constraint, Symplectic geometry and Degrees of freedom.

His Mathematical analysis research is multidisciplinary, relying on both Invariant, Symmetry and Coordinate conditions. His Spacetime study combines topics from a wide range of disciplines, such as Einstein, Cauchy horizon, Gravitational field and Field. His research investigates the link between Einstein field equations and topics such as Manifold that cross with problems in Hamiltonian system, Space, Symplectic manifold and Quantum mechanics.

His most cited work include:

  • Spacetime symmetries and linearization stability of the Einstein equations. I (216 citations)
  • Symmetries of cosmological Cauchy horizons (193 citations)
  • Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space (189 citations)

What are the main themes of his work throughout his whole career to date?

Vincent Moncrief focuses on Mathematical physics, Einstein, Classical mechanics, Mathematical analysis and Spacetime. His work on Killing vector field as part of his general Mathematical physics study is frequently connected to Mean curvature, thereby bridging the divide between different branches of science. His work investigates the relationship between Einstein and topics such as Hamiltonian that intersect with problems in Hamiltonian system, Phase space and Gravitation.

When carried out as part of a general Classical mechanics research project, his work on Einstein field equations and Gravitational field is frequently linked to work in Spacetime symmetries, therefore connecting diverse disciplines of study. His Mathematical analysis research integrates issues from Symmetry and Minkowski space. As part of one scientific family, he deals mainly with the area of Spacetime, narrowing it down to issues related to the Geodesic, and often Moduli space.

He most often published in these fields:

  • Mathematical physics (61.42%)
  • Einstein (28.35%)
  • Classical mechanics (27.56%)

What were the highlights of his more recent work (between 2008-2020)?

  • Mathematical physics (61.42%)
  • Theoretical physics (12.60%)
  • Einstein (28.35%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Mathematical physics, Theoretical physics, Einstein, Spacetime and Scalar. His Mathematical physics research is multidisciplinary, incorporating elements of Cauchy distribution and Ergodic theory. His study in the field of Cosmological constant and Einstein equations also crosses realms of Euclidean geometry.

The various areas that he examines in his Einstein study include General relativity, Isotropy, Geodesic and Moduli space. As a member of one scientific family, Vincent Moncrief mostly works in the field of Spacetime, focusing on Quantum and, on occasion, Perturbation theory and Scalar. His Scalar study also includes

  • Scalar field and related Field, Circular symmetry and Black hole,
  • Quantum gauge theory which connect with Riemannian manifold, Orbit and Gauge theory.

Between 2008 and 2020, his most popular works were:

  • Regularity of the Einstein equations at future null infinity (58 citations)
  • Einstein spaces as attractors for the Einstein flow (45 citations)
  • Hyperboloidal Einstein-matter evolution and tails for scalar and Yang–Mills fields (38 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • General relativity

His primary areas of study are Mathematical physics, Spacetime, Einstein, Geodesics in general relativity and Killing vector field. His study in Mathematical physics is interdisciplinary in nature, drawing from both Black hole and Scalar. The study incorporates disciplines such as Singularity, Hamiltonian, Conformal map and Taylor series in addition to Spacetime.

His Einstein research incorporates elements of Theoretical physics, Algebra, U-1, Class and Dark energy. In general Theoretical physics study, his work on General relativity often relates to the realm of Stability result, thereby connecting several areas of interest. His Geodesics in general relativity research is multidisciplinary, incorporating perspectives in Cauchy distribution, Linear combination and Ergodic theory.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Spacetime symmetries and linearization stability of the Einstein equations. I

Vincent Moncrief.
Journal of Mathematical Physics (1975)

328 Citations

Symmetries of cosmological Cauchy horizons

Vincent Moncrief;James Isenberg.
Communications in Mathematical Physics (1983)

299 Citations

Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space

Vincent Moncrief.
Journal of Mathematical Physics (1989)

287 Citations

The global existence of Yang-Mills-Higgs fields in $4$-dimensional Minkowski space. I. Local existence and smoothness properties

Douglas M. Eardley;Vincent Moncrief.
Communications in Mathematical Physics (1982)

259 Citations

Asymptotic behavior of the gravitational field and the nature of singularities in gowdy spacetimes

James Isenberg;Vincent Moncrief.
Annals of Physics (1990)

258 Citations

The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space

Douglas M. Eardley;Vincent Moncrief.
Communications in Mathematical Physics (1982)

252 Citations

Symmetry and bifurcations of momentum mappings

Judith M. Arms;Jerrold E. Marsden;Vincent Moncrief.
Communications in Mathematical Physics (1981)

247 Citations

Elliptic-Hyperbolic Systems and the Einstein Equations

Lars Andersson;Vincent Moncrief.
Annales Henri Poincaré (2003)

212 Citations

Numerical investigation of cosmological singularities.

Beverly K. Berger;Beverly K. Berger;Vincent Moncrief;Vincent Moncrief.
Physical Review D (1993)

200 Citations

Global properties of Gowdy spacetimes with T3 × R topology☆

Vincent Moncrief.
Annals of Physics (1981)

183 Citations

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