We investigate the extension of isotropic interior solutions for static self-gravitating systems to include effects anisotropic spherically symmetric gravitational sources by means decoupling realised via minimal geometric deformation approach. In particular, matching conditions at surface star with outer Schwarzschild space-time are studied in great detail, and we describe how generate, from a single physically acceptable solution, new families whose physical acceptability is also inherited...

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between and central source metric. This system described by means gravitational decoupling realised via minimal geometric deformation approach, which allows us to prove that must be anisotropic. Several cases are then explicitly shown.

Abstract We employ the gravitational decoupling approach for static and spherically symmetric systems to develop a simple powerful method in order (a) continuously isotropize any anisotropic solution of Einstein field equations, (b) generate new solutions self-gravitating distributions with same or vanishing complexity factor. A few working examples are given illustrative purposes.

In the context of Randall-Sundrum braneworld, minimal geometric deformation approach (MGD) is used to generate a new physically acceptable interior solution Einstein's field equations for spherically symmetric compact distribution. This elucidate role exterior Weyl stresses from bulk gravitons on stellar distributions. We found strong evidences showing that dark radiation ${\cal U}^+$ always increases both pressure and compactness structures, "dark pressure" P}^+$ reduces them.

We employ the minimal geometric deformation approach to gravitational decoupling (MGD- decoupling) in order build an exact anisotropic version of Schwarzschild interior solution a space-time with cosmological constant. Contrary well-known interior, matter density new is not uniform and possesses subluminal sound speed. It therefore satisfies all standard physical requirements for candidate astrophysical object.

We investigate how a spherically symmetric scalar field can modify the Schwarzschild vacuum solution when there is no exchange of energy-momentum between and central source metric.This system described by means gravitational decoupling Minimal Geometric Deformation (MGD-decoupling), which allows us to show that, under MGD paradigm, modified in such way that naked singularity appears.

We review the basic elements of Minimal Geometric Deformation approach in details. This method has been successfully used to generate brane-world configurations from general relativistic perfect fluid solutions.

We consider a Horava theory that has consistent structure of constraints and propagates two physical degrees freedom. The Lagrangian includes the terms Blas, Pujolas Sibiryakov. can be obtained from general Horava's formulation by setting lambda = 1/3. This value is protected in quantum presence constraint. second-class are absent for other values lambda. They remove extra scalar mode. There no strong-coupling problem this since there perform explicit computations on model put together z 1...

Abstract We study the Randall‐Sundrum gravity under gravitational decoupling through minimal geometric deformation approach (MGD‐decoupling). show a family of new black hole solutions as well exact interior for self‐gravitating stellar systems and we discuss corresponding matching conditions.

Abstract We analyze the effective field equations of Randall‐Sundrum braneworld coupled with a Klein‐Gordon scalar through minimal geometric deformation decoupling method (MGD‐decoupling). introduce two different ways to apply MGD‐decoupling obtain new solutions for this enlarged system. also compare behavior those obtained directly from Randall‐Sumdrum without coupling field.

Abstract We study the wave equation with a non-linear dissipative term associated to bidimensional membrane fixed boundary. use semigroup theory consider existence and uniqueness of solutions problem we implement finite element method analyse vibrating evolutionary equation. In particular Comsol Multiphysics software rectangular mesh analyze corresponding system. mention that this system can appear, for example, in diaphragm centrifugal pump mining processes.

We perform a non-perturbative analysis to the Hamiltonian constraint of lowest-order effective action complete Horava theory, which includes (\partial_i \ln N)^2 term in Lagrangian. cast this as partial differential equation for N and show that solution exists is unique under condition positivity metric its conjugate momentum. interpret analog spatial scalar curvature general relativity. From we extract several properties N: an upper bound on absolute value asymptotic behavior. In...

We find the static spherically symmetric solutions (with vanishing shift function) of complete nonprojectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory explicitly, writing space-time metrics as explicit tensors in local coordinate systems. This completes previous work other authors who have studied same configurations. The depend on coupling constant $\ensuremath{\alpha}$ $({\ensuremath{\partial}}_{i}\mathrm{ln}N{)}^{2}$ term. $\ensuremath{\lambda}=1/3$ case does not possess any extra...

An extension of the super Korteweg–de Vries (KdV) integrable system in terms operator valued functions is obtained. Following ideas Gardner, a general algebraic approach for finding infinitely many conserved quantities systems presented. The applied to above described and are constructed. In particular case they reduce corresponding KdV.

The nonlocal conserved quantities of the N=1 Super KdV are obtained using a Gardner map. A fermionic substitution semigroup and resulting category defined several propositions concerning their algebraic structure obtained. This framework makes it possible to define general transformations between different nonlinear SUSY differential equations. ring extension is then introduced deal with SKdV. version solved in terms exponential function applied D−1 local Finally same formulas shown work for...

A supersymmetric breaking procedure for N = 1 super Korteweg-de Vries (KdV), using a Clifford algebra, is implemented. Dirac's method the determination of constraints used to obtain Hamiltonian structure, via Lagrangian, resulting solitonic system coupled KdV type system. It shown that obtained by this bounded from below and in sense represents model which physically admissible.

Abstract We consider the Becchi, Rouet, Stora and Tyutin (BRST) invariant effective action of non-abelian BF topological theory in two dimensions with gauge group <?CDATA $Sl(2,\mathbb{R})$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>S</mml:mi><mml:mi>l</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:math> . By...

By combining analytical and numerical methods we find that the solutions of complete Horava theory with negative cosmological constant satisfy conditions staticity, spherical symmetry vanishing shift function are two kinds geometry: (i) a wormhole-like solution sides joined by throat (ii) single side naked singularity at origin. We study second-order effective action. consider case when coupling (partial ln N)^2 term, which is unique deviation from general relativity in action, small. At one...

Abstract We obtain the full Hamiltonian structure for a parametric coupled KdV system. The system arises from four different real basic lagrangians. associated functionals and corresponding Poisson structures follow geometry of constrained phase space by using Dirac approach systems. overall algebraic is given in terms two pencils with Hamiltonians depending on parameter pencils. construction we present admits most general observables related to then construct master lagrangians whose field...

We conjecture that any modification of general relativity can be studied by the minimal geometric deformation approach provided such represented a traceless energy-momentum tensor.

The Poisson structure of a coupled system arising from supersymmetric breaking N=1 Super KdV equations is obtained. implemented by introducing Clifford algebra instead Grassmann algebra. follows the Dirac brackets obtained constraint analysis hamiltonian system. has multisolitonic solutions. We show that one soliton solutions are Liapunov stable.

We analize a parametric coupled KdV system and we find Bäcklund transformation. For positive value of the parameter reduces to two decoupled equations. negative has non trivial coupling presents multisolitonic solutions generated by Backlund compare results with already known in literature.