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Twisted Black Hole Is Taub-NUT
Recently a purportedly novel solution of the vacuum Einstein field equations was discovered: it supposedly describes an asymptotically flat twisted black hole in 4-dimensions whose exterior spacetime ...
View Book →What prevents gravitational collapse in string theory?
It is conventionally believed that if a ball of matter of mass $M$ has a radius close to $2GM$ then it must collapse to a black hole. But string theory microstates (fuzzballs) have no horizon or singu...
View Book →Techni-dilaton at Conformal Edge
Techni-dilaton (TD) was proposed long ago in the technicolor (TC) near criticality/conformality. To reveal the critical behavior of TD, we explicitly compute the nonperturbative contributions to the s...
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The generalized weighted probability measure on the symmetric group and the asymptotic behavior of t
The goal of this paper is to analyse the asymptotic behavior of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are relevant models in p...
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DTIC ADA105534: Interior and Exterior Resonances in Acoustic Scattering. I. Spherical Targets II. Ta
SPHERICAL TARGETS. In acoustic scattering from elastic objects, resonances features appear in the returned echo at frequencies where the objects eigenfrequencies are located, which are explained by th...
View Book →Nilpotent operators and weighted projective lines
We show a surprising link between singularity theory and the invariant subspace problem of nilpotent operators as recently studied by C. M. Ringel and M. Schmidmeier, a problem with a longstanding his...
View Book →Threshold of Singularity Formation in the Semilinear Wave Equation
Solutions of the semilinear wave equation are found numerically in three spatial dimensions with no assumed symmetry using distributed adaptive mesh refinement. The threshold of singularity formation ...
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Uncaged (Singular Menace)
First published in 2014...
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The technological singularity
First published in 2015...
View Book →Isotoxal star-shaped polygonal voids and rigid inclusions in nonuniform antiplane shear fields. Part
Notch stress intensity factors and stress intensity factors are obtained analytically for isotoxal star-shaped polygonal voids and rigid inclusions (and also for the corresponding limit cases of star-...
View Book →Beyond AdS Space-times, New Holographic Correspondences and Applications
To describe Lifshitz and hyperscaling violating (HSV) phenomena in CM one uses gauge fields on the gravity side which naturally realize the breaking of Lorentz invariance. These gravity constructions ...
View Book →Algebraic Montgomery-Yang Problem: the noncyclic case
Montgomery-Yang problem predicts that every pseudofree differentiable circle action on the 5-dimensional sphere ${\mathbb S}^5$ has at most 3 non-free orbits. Using a certain one-to-one correspondence...
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Curvature singularity and film-skating during drop impact
We study the influence of the surrounding gas in the dynamics of drop impact on a smooth surface. We use an axisymmetric 3D model for which both the gas and the liquid are incompressible; lubrication ...
View Book →Some Aspects of Four Dimensional Black Hole Solutions in Gauss-Bonnet Extended String Gravity
An internal singularity of a string four-dimensional black hole with second order curvature corrections is discussed. A restriction to a minimal size of a neutral black hole is obtained in the frame o...
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Quantum Particle Production at Sudden Singularities
We investigate the effects of quantum particle production on a classical sudden singularity occurring at fine time in a Friedmann universe. We use an exact solution to describe an initially radiation-...
View Book →McVittie's Legacy: Black Holes in an Expanding Universe
We prove that a class of solutions to Einstein's equations---originally discovered by G. C. McVittie in 1933---includes regular black holes embedded in Friedman-Robertson-Walker cosmologies. If the co...
View Book →Conformal anomaly c-coefficients of superconformal 6d theories
We propose general relations between the conformal anomaly and the chiral (R-symmetry and gravitational) anomaly coefficients in 6d (1,0) superconformal theories. The suggested expressions for the thr...
View Book →DTIC ADA1026977: Le Catastrophe by Any Other Name.
The application of the techniques of mathematical physics to the analysis of discontinuities is well known, but it rests on a detailed understanding of the continuous behavior of other parts of the pr...
View Book →The effect of an infrared divergent quark-antiquark interaction kernel on other Green functions
The n-point Green functions of Landau gauge QCD are systematically investigated in a Dyson-Schwinger approach assuming a static linearly rising potential between fundamental color charges. Besides qua...
View Book →Cosmological Singularities, Einstein Billiards and Lorentzian Kac-Moody Algebras
The structure of the general, inhomogeneous solution of (bosonic) Einstein-matter systems in the vicinity of a cosmological singularity is considered. We review the proof (based on ideas of Belinskii-...
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Thermoelectric power of high-Tc superconductors calculated from the electronic structure
We have calculated the thermopower of the Bi2Sr2CuO6 and Bi2Sr2CaCu2O8 superconductors using an ARPES-derived dispersion, with a model pseudogap, and a marginal-Fermi liquid scattering rate that has a...
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Star Trek - A Singular Destiny
First published in 2009...
View Book →CFT Duals for Accelerating Black Holes
The near horizon geometry of the rotating C-metric, describing accelerating Kerr-Newman black holes, is analysed. It is shown that, at extremality, even though not it is isomorphic to the extremal Ker...
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