Starting out with new deenitions for the gauge-invariant perturbations in energy density and particle number density, evolution equations for these quantities are derived which are manifestly gauge-invariant. In the case of vanishing pressure, these equations are identical to Poisson's equation. This fact is in contrast to what is found in earlier treatments based on other dee-nitions.

We have obtained the Generalized Uncertainty Principle (GUP) corrected de Sitter and anti-de black hole solutions in bumblebee gravity with a topological defect. calculated scalar, electromagnetic gravitational quasinormal modes for both vanishing non-vanishing effective cosmological constant using Pad\'e averaged sixth order WKB approximation method. Apart from this, time evolutions all three ...

conclusions this is the first case report of a vanishing tumor in the right pulmonary apex. case presentation such masses have been designated as vanishing tumors of the lung. it is extremely rare that a vanishing tumor occurs in the apex of the lung. introduction in patients with acute heart failure, pleural fluid localized in an inter-pleural fissure produces a mass on chest x-ray, which mimi...

A global, bi-homogeneous, observer for a class of 1-DOF mechanical systems with Coriolis and centrifugal forces, dry viscous frictions non-vanishing bounded uncertainties/perturbations is proposed, ensuring predefined upper bound convergence time. The options acceleration are discussed in simulation example.

‎the object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎at first we prove that a quasi-conformally flat spacetime is einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎einstein's field equation with cosmological constant is covariant constant‎. ‎next‎, ‎we prove that if the perfect...

Context. The MHD instabilities can generate complex field topologies even if the initial field configuration is a very simple one. Aims. We consider the stability properties of magnetic configurations containing a toroidal and an axial field. In this paper, we concentrate mainly on the behavior of non-axisymmetric perturbations in axisymmetric magnetic configurations. Methods. The stability is ...

We derive the non-perturbative corrections to the free energy of the two-matrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p, q) critical points our results agree with the geometrical interpretation of the instanton effects recently discovered in the CFT approach. The form of the instanton corrections implies ...

Abstract We solve time-harmonic Maxwell’s equations in anisotropic, spatially homogeneous media intersections of $$L^p$$ L p -spaces. The material laws are time-independent. analysis requires Fourier restriction–extension estimates for perturbations Fresnel’s wave surfa...

We provide an effective uniform upper bond for the number of zeros of the first non-vanishing Melnikov function of a polynomial perturbations of a planar polynomial Hamiltonian vector field. The bound depends on degrees of the field and of the perturbation, and on the order k of the Melnikov function. The generic case k = 1 was considered by Binyamini, Novikov and Yakovenko ( [BNY10]). The boun...