We present and discuss a new family of topological hairy dyonic black hole solutions in asymptotically anti--de Sitter space. The coupled Einstein-Maxwell-scalar gravity system, that carries both the electric magnetic charges is solved, exact are obtained analytically. scalar field profiles give rise to such regular everywhere. for planar, spherical, hyperbolic horizon topologies. In addition, ...

Abstract Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed extension f ( R ) gravity. We found that semi-simple Poincare allows us to introduce geometrically a cosmological constant term in four-dimensional This also introduction non-vanishing torsion theory. It is antisymmetric gauge field $$B^{ab}$$ <mml:math xmlns:mml="http://www.w3....

The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but their explicit formulas are not identical to previous constructions in the literature. This paper corrects an earlier comparison with other approaches, includin...

We show that under equilibrium conditions, an anisotropic phase-eld model of a diiuse interface leads to the notion of a divergence-free tensor, whose components are negligible away from the interface. Near the interface, it plays the r^ ole of a stress tensor, and involves the phase-eld generalisation of the Cahn-Hooman-vector. We show that this tensor may be used to derive the equilibrium con...

This paper presents an analytical study of the air-gap magnetic field a Surface Permanent Magnet (SPM) linear machine under no load. By means method images, complex expression conductor, inside air gap between two smooth iron surfaces, is retrieved. Then, integrating conductor expression, formulation current sheet and thus one SPM, using vertical sheets, obtained. At last, no-load for generic t...

In this work, we provide consistent compactifications of Einstein-Maxwell and Einstein-Maxwell-Lovelock theories on direct product spacetimes the form ${\mathcal{M}}_{D}={\mathcal{M}}_{d}\ifmmode\times\else\texttimes\fi{}{\mathcal{K}}^{p}$, where ${\mathcal{K}}^{p}$ is a Euclidean internal manifold constant curvature. For these to take place, distribution precise flux $p$-forms over required. T...

The Simon tensor gives rise to a local characterization of the Kerr-NUT family in stationary class vacuum spacetimes. We find that symmetric and traceless quotient space Killing trajectory offers useful alternative tensor. Our is distinct from spatial dual illustrates geometric property three dimensional more manifest. reconstruction procedure metric for which generalized vanishes spelled out d...

We argue that gravity theories in AdS4 are holographically dual to either of two threedimensional CFT’s: the usual Dirichlet CFT1 where the fixed graviton acts as a source for the stress-energy tensor, and a dual CFT2 with a fixed dual graviton which acts as a source for a dual stress-energy tensor. The dual stress-energy tensor is shown to be the Cotton tensor of the Dirichlet CFT. The two CFT...

We use the transfer equation in relativistic form to develop an expansion of the onephoton distribution for a medium with constant photon mean free path, ǫ. On carrying out appropriate integrations and manipulations, we convert this expansion into one for the frequency-integrated intensity. We regroup the terms of the intensity expansion according to both the power of ǫ and the angular structur...