We discuss supergravity inflation in braneworld cosmology for the class of potentials [Formula: see text] with text]. These minimal SUGRA models evade problem due to a broken shift symmetry and can easily accommodate observational constraints. In high energy regime text], numerical predictions approximate analytic formulas are given scalar spectral index tensor-to-scalar ratio The smaller prefe...

On transformation to the Fourier space (k, ω), the partial differential Maxwell equations simplify to algebraic equations, and the Helmholtz theorem of vector calculus reduces to vector algebraic projections. Maxwell equations and their solutions can then be separated readily into longitudinal and transverse components relative to the direction of the wave vector k. The concepts of wave motion,...

On transformation to the Fourier space (k, ω), the partial differential Maxwell equations simplify to algebraic equations, and the Helmholtz theorem of vector calculus reduces to vector algebraic projections. Maxwell equations and their solutions can then be separated readily into longitudinal and transverse components relative to the direction of the wave vector k. The concepts of wave motion,...

We construct two solutions of the minimally coupled Einstein–scalar field equations, representing regular deformations of Schwarzschild black holes by a selfinteracting, static, scalar field. One solution features an exponentially decaying scalar field and a triple-well interaction potential; the other one is completely analytic and sprouts Coulomb-like scalar hair. Both evade the no-hair theor...

A generalization of the Bardeen formalism to the case of warped geometries is presented. The system determining the gauge-invariant fluctuations of the metric induced by the scalar fluctuations of the brane is reduced to a set of Schrödinger-like equations for the Bardeen potentials and for the canonical normal modes of the scalar-tensor action. Scalar, vector and tensor modes of the geometry a...

We compare the standard single scalar field inflationary predictions with those of an inflationary phase driven by a tachyon field. A slow-roll formalism is defined for tachyon inflation, and we derive the spectra of scalar and tensor perturbations as well as the consistency relations. At lowest order the predictions of standard and tachyon inflation are shown to be the same. Higher order devia...

The objects of the present study are one-parameter semigroups generated by Schrödinger operators with fairly general electromagnetic potentials. More precisely, we allow scalar potentials from the Kato class and impose on the vector potentials only local Kato-like conditions. The configuration space is supposed to be an arbitrary open subset of multidimensional Euclidean space; in case that it ...

The effective potential obtained by loop expansion is usually not real in the range of field values explored its minima during a phase transition. We apply optimized perturbation theory fixed gauge to singlet scalar extensions Standard Model order calculate one-loop that construction. test this computational scheme comparing such Landau derived based on Higgs pole mass. carry out latter constru...

A bstract In this paper, we derive a characterisation of negative scalar potentials, V < 0, in d -dimensional effective theories quantum gravity. This is achieved thanks to an Anti-Trans-Planckian Censorship Conjecture (ATCC), inspired by refined version the TCC. The ATCC relies on fact that contracting universe, modes become sub-Planckian length violate validity theory. asymptotics field sp...