The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a design functional with respect to the creation of a small hole in the domain. In this paper, such an expansion is obtained for the Helmholtz equation, in two and three space dimensions, with a Dirichlet condition on the boundary of an arbitrarily shaped hole. In this case, the main difficulty is related to...

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein–de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain a simple analytical criterion—involving the physical size and mass scales ~the field’s inverse Compton wavelength and the spacetime gravitational mass! of th...

The observed relation between central black hole mass and spheroid velocity dispersion is interpreted in terms of a self-regulation model that incorporates a viscous Keplerian accretion disk to feed the black hole, embedded in a massive, self-gravitating star forming disk that eventually populates the spheroid. The model leads to a constant ratio between black hole mass and spheroid mass which ...

Broad Absorption Line (BAL) QSOs have been suggested to be youthful super-accretors based on their powerful radiatively driven absorbing outflows and often reddened continua. To test this hypothesis, we observed near IR spectra of the Hβ region for 11 bright BAL QSOs at redshift z ∼2. We measured these and literature spectra for 6 BAL QSOs, 13 radio-loud and 7 radio-quiet non-BAL QSOs. Using th...

In a previous paper (Henri & Petrucci submitted, hereafter paper I), we have derived a new model in order to explain the UV and X-ray emission of radio quiet AGNs. This model assumes that a point source of relativistic leptons (e + , e −) illuminates the accretion disk of the AGN by Inverse Compton process. This disk is supposed to be simply represented by a finite slab which radiates only the ...

We self-consistently estimate the outflow rate from the accretion rates of an accretion disk around a black hole in which both the Keplerian and the sub-Keplerian matter flows simultaneously. While Keplerian matter supplies soft-photons, hot sub-Keplerian matter supplies thermal electrons. The temperature of the hot electrons is decided by the degree of inverse Comptonization of the soft photon...

In this paper, we discuss how in certain theories of spacetime admitting a maximal proper acceleration Hawking radiation does not completely evaporate the black hole. The hole remnant’s mass depends on inverse acceleration. Furthermore, as consequence duality between minimum that Schwarzschild can have such spacetimes and acceleration, show with there must be an upper uniform bound value force ...

The jets of powerful blazars propagate within regions relatively dense of radiation produced externally to the jet. This radiation is a key ingredient to understand the origin of the high energy emission of blazars, from the X–ray to the γ–ray energy band. The main components contributing to the external radiation field are the accretion disk emission, including its X–ray corona, the broad line...

The occupied and unoccupied states of poly(9,9′-dioctylfluorene) (F8) and poly(9,9′-dioctylfluorene-co-bisN,N′-(4-butylphenyl)diphenylamine) (TFB) are investigated using ultraviolet photoelectron and inverse photoemission spectroscopies, cyclic voltammetry, and density functional theory calculations. Hole injection barriers are determined for interfaces between substrates with work function ran...

We consider stochastic particle acceleration in plasmas around stellar mass black holes to explain the emissions above 1 MeV from Galactic black hole candidates. We show that for certain parameter regimes, electrons can overcome Coulomb losses and be accelerated beyond the thermal distribution to form a new population, whose distribution is broad and usually not a power law; the peak energy of ...