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Vor 4 Tagen · Abstract: We explore in detail the 2+2 and 1+1+2 formalism in spherically symmetric spacetimes, spanning from deducing the dynamical equations to relating them to the well-known generalised Painlevé-Gullstrand (GPG) coordinate system. The evolution equations are the Raychaudhuri equations for null rays, including those also known as ...
Vor 3 Tagen · Gradually, Pétain’s views prevailed and, in December 1925, the commission was succeeded by the Frontier Defense Commission, formed by Minister of War Paul Painlevé, to further look into the matter. Neglecting Belgium. Painlevé’s board determined that three most likely invasion routes required immediate fortification.
Vor 5 Tagen · Using the singularity analysis, we investigate the integrability properties and existence of analytic solutions in f(R) f (R) f(R) f (R)-cosmology.Specifically, for some power-law f(R) f (R) f(R) f (R)-theories of particular interest, we apply the ARS algorithm to prove if the field equations possess the Painlevé property.
Vor 5 Tagen · For each of two Hamiltonian systems with the quasi-Painlevé property, we establish a holomorphic orbifold Hamiltonian structure for the system on an augmented phase space obtained through blowups. This generalises the orbifold Hamiltonian structure of the first Painlevé equation on its Okamoto space of initial conditions ...
Vor 5 Tagen · This paper is a continuation of our previous paper where the Painlevé-Calogero correspondence has been extended to auxiliary linear problems associated with Painlevé equations. We have proved, for the first five equations from the Painlevé list, that one of the linear problems can be recast in the form of the non-stationary Schrödinger equation whose Hamiltonian is…
Vor 2 Tagen · Kindheit, Familie und Privatleben 20 Forthlin Road in Liverpool: Hier lebte Paul McCartney von 1955 bis 1965 mit seinem Bruder und seinem Vater. Paul McCartney wurde 1942 in Liverpool geboren und wuchs in einer Sozialbausiedlung im südlichen Stadtteil Speke als Sohn des aus einer protestantischen Familie kommenden James „Jim“ McCartney (1902–1976) und dessen aus einer irischen ...
Vor 3 Tagen · Paul (also named Saul of Tarsus; c. 5 – c. 64/65 AD), commonly known as Paul the Apostle and Saint Paul, was a Christian apostle who spread the teachings of Jesus in the first-century world.
