About: Vincent Moncrief

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Vincent Edward Moncrief is an American mathematician and physicist at Yale University. He works in relativity and mathematical physics. Moncrief earned his doctorate in 1972 at the University of Maryland College Park under the supervision of Charles William Misner and worked subsequently at the University of California Berkeley and at the University of Utah. He grew up in Oklahoma City.

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rdfs:label	Vincent Moncrief (en)
rdfs:comment	Vincent Edward Moncrief is an American mathematician and physicist at Yale University. He works in relativity and mathematical physics. Moncrief earned his doctorate in 1972 at the University of Maryland College Park under the supervision of Charles William Misner and worked subsequently at the University of California Berkeley and at the University of Utah. He grew up in Oklahoma City. (en)
foaf:name	Vincent Moncrief (en)
name	Vincent Moncrief (en)
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dcterms:subject	Living people Place of birth missing (living people) Year of birth missing (living people) 20th-century American mathematicians 21st-century American mathematicians 21st-century American physicists University of California, Berkeley faculty University of Maryland, College Park alumni University of Utah faculty Yale University faculty
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Link from a Wikipage to another Wikipage	University of California Berkeley University of Maryland College Park University of Miami University of Utah Living people Place of birth missing (living people) Year of birth missing (living people) Mathematics General Relativity Yvonne Choquet-Bruhat Physics Mathematical physics Mathematician 20th-century American mathematicians 21st-century American mathematicians 21st-century American physicists University of California, Berkeley faculty University of Maryland, College Park alumni University of Utah faculty Yale University faculty Theory of relativity Hamiltonian mechanics Doctorate Manifold Spacetime Oklahoma City Yale University Yamabe invariant Physicist University of California at Santa Cruz Edward Seidel Einstein's equations Charles William Misner
Link from a Wikipage to an external page	http://physics.yale.edu/moncrief
sameAs	Vincent Moncrief Vincent Moncrief Vincent Moncrief Vincent Moncrief Vincent Moncrief Vincent Moncrief
workplaces	Yale University
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thumbnail	wiki-commons:Special:FilePath/Vincent_Moncrief,_1973_February_(portioned).jpg?width=300
fields	Mathematics Physics
nationality	American (en)
has abstract	Vincent Edward Moncrief is an American mathematician and physicist at Yale University. He works in relativity and mathematical physics. Moncrief earned his doctorate in 1972 at the University of Maryland College Park under the supervision of Charles William Misner and worked subsequently at the University of California Berkeley and at the University of Utah. He grew up in Oklahoma City. A key result (obtained jointly with Arthur Fischer of the University of California at Santa Cruz) was to relate the reduced Hamiltonian for Einstein's equations to a topological invariant known as the Yamabe invariant (or sigma constant) for the spatial manifold and to show that the reduced Hamiltonian is monotonically decreasing along all solutions of the field equations (in the direction of cosmological expansion) and therefore evidently seeking to attain its infimum which in turn is expressible in terms of the sigma constant. A discussion of this and related work (with Lars Andersson of the University of Miami and Yvonne Choquet-Bruhat of the Université Paris VI) may be found in Moncrief's and Choquet-Bruhat's lectures at the Cargese summer school on 50 years of the Cauchy Problem in General Relativity. Moncrief's own research is mainly concerned with the global existence and asymptotic properties of cosmological solutions of Einstein's equations and especially the question of how these properties depend upon the topology of spacetime. He is also interested in how a study of the "Einstein flow" on various manifolds might shed light on open questions in 3-manifold topology itself. Most of this research involves the treatment of sufficiently small but nevertheless fully non-linear perturbations of certain special backgrounds and includes an analysis of higher as well as lower-dimensional spacetimes in addition to physical (3 + 1)-dimensional spacetime. (en)

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