Search Results - "Stavrov, Iva"

Geometrostatic Manifolds of Small ADM Mass by Sormani, Christina, Allen, Iva Stavrov

“…We bound the locations of outermost minimal surfaces in geometrostatic manifolds whose ADM mass is small relative to the separation between the black holes and…”
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The effects of self-interaction on constructing relativistic point particles by Benjamin, Noah, Allen, Iva Stavrov

“…We introduce a framework for studying the effects of self-interaction on the construction of point particle initial data in General Relativity. Within this…”
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Asymptotic Gluing of Shear-Free Hyperboloidal Initial Data Sets by Allen, Paul T., Isenberg, James, Lee, John M., Stavrov Allen, Iva

“…We present a procedure for asymptotic gluing of hyperboloidal initial data sets for the Einstein field equations that preserves the shear-free condition. Our…”
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Smoothly Compactifiable Shear-Free Hyperboloidal Data is Dense in the Physical Topology by Allen, Paul T., Allen, Iva Stavrov

“…We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated,…”
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A Gluing Construction Regarding Point Particles in General Relativity by Allen, Iva Stavrov

“…We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein constraint equations to compact solutions…”
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Asymptotic Gluing of Asymptotically Hyperbolic Solutions to the Einstein Constraint Equations by Isenberg, James, Lee, John M., Allen, Iva Stavrov

“…We show that asymptotically hyperbolic solutions of the Einstein constraint equations with constant mean curvature can be glued in such a way that their…”
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The Effects of Self-Interaction on Constructing Relativistic Point Particles by Benjamin, Noah, Allen, Iva Stavrov

“…We introduce a framework for studying the effects of self-interaction on the construction of point particle initial data in General Relativity. Within this…”
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The shear-free condition and constant-mean-curvature hyperboloidal initial data by Allen, Paul T, Isenberg, James, Lee, John M, Allen, Iva Stavrov

“…We consider the Einstein-Maxwell-fluid constraint equations, and make use of the conformal method to construct and parametrize constant-mean-curvature…”
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A Gluing Construction Regarding Point Particles in General Relativity by Allen, Iva Stavrov

“…Annales Henri Poincare 10:1437-1486,2010 We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein…”
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Vector bundles over Grassmannians and the spectral geometry of the Riemann tensor by Stavrov, Iva

“…Methods from algebraic topology are often used to relate the algebraic properties of the Riemann curvature tensor to the geometry and topology of the…”
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Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations by Isenberg, James, Lee, John M, Allen, Iva Stavrov

“…We show that asymptotically hyperbolic solutions of the Einstein constraint equations with constant mean curvature can be glued in such a way that their…”
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Brill-Lindquist-Riemann sums and their limits by Benko, Tatyana, Allen, Iva Stavrov

“…This article commences a study of convergence of discretized point-object configurations, which we call Brill-Lindquist-Riemann sums, towards a charged dust…”
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(Semi-)Riemannian geometry of (para-)octonionic projective planes by Held, Rowena, Stavrov, Iva, VanKoten, Brian

“…We use reduced homogeneous coordinates to construct and study the (semi-)Riemannian geometry of the octonionic (or Cayley) projective plane O P 2 , the…”
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Vector bundles over Grassmannians and the skew-symmetric curvature operator by Stavrov, Iva

“…A pseudo-Riemannian manifold is said to be spacelike Jordan IP if the Jordan normal form of the skew-symmetric curvature operator depends upon the point of the…”
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On a gravitational self-interaction parameter for point-particles by Allen, Iva Stavrov

“…Relativistic, electrically neutral point-particles can be given mathematical foundation by doing a careful accounting of self-interaction energies. In this…”
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On superposition of relativistic point-sources by Benjamin, Noah, McDermott, Will, Allen, Iva Stavrov

“…The non-linearity of general relativity makes it at least difficult if not impossible to view a relativistic cloud of matter as being made up of point-source…”
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Geometrostatic Manifolds of Small ADM Mass by Sormani, Christina, Allen, Iva Stavrov

“…We bound the locations of outermost minimal surfaces in geometrostatic manifolds whose ADM mass is small relative to the separation between the black holes and…”
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CURVATURE TENSORS WHOSE JACOBI OR SZABÓ OPERATOR IS NILPOTENT ON NULL VECTORS by GILKEY, PETER, STAVROV, IVA

“…The authors show that any $k$ -Osserman Lorentzian algebraic curvature tensor has constant sectional curvature, and give an elementary proof that any local…”
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Asymptotic gluing of shear-free hyperboloidal initial data sets by Allen, Paul T, Isenberg, James, Lee, John M, Allen, Iva Stavrov

“…We present a procedure for asymptotic gluing of hyperboloidal initial data sets that preserves the shear-free condition. Our construction is modeled on a…”
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Spectral geometry of the Riemann curvature tensor by Stavrov, Iva

“…We study the following three topics which arise in the spectral geometry of the Riemann curvature tensor. (1) A pseudo-Riemannian manifold is said to be…”
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