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Papers by Pablo Alonso León V.
Physical Review D, 2021
We discuss the effect that small fluctuations of both local anisotropy and energy density, may ha... more We discuss the effect that small fluctuations of both local anisotropy and energy density, may have on the occurrence of cracking in spherical compact objects satisfying a polytropic equation of state. A systematic scheme to bring the fluid configurations out of hydrostatic equilibrium is revisited. Various models of polytropes are considered and it is shown that departures from equilibrium may lead to the appearance of cracking for a wide range of values of the parameters involved. Prospective applications of the obtained results to some astrophysical scenarios are pointed out.
Fortschritte der Physik, 2021
We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-G... more We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-Gordon scalar field through the minimal geometric deformation decoupling method (MGDdecoupling). We introduce two different ways to apply the MGD-decoupling method to obtain new solutions for this enlarged system. We also compare the behavior of the new solutions with those obtained directly from the Randall-Sumdrum braneworld without coupling to the scalar field.
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](Gastroenterologia y hepatologia, 2009
In this work we will analyse the complexity factor, proposed by L. Herrera, of spherically symmet... more In this work we will analyse the complexity factor, proposed by L. Herrera, of spherically symmetric static matter distributions satisfying a polytropic equation through the gravitational decoupling method. Specifically, we will use the 2-steps GD, which is a particular case of the Extended Geometric Deformation (EGD), to obtain analytic polytropic solutions of Einstein's equations. In order to give an example, we construct a model satisfying a polytropic equation of state using Tolman IV as seed solution.
In this work we obtain the Hamiltonian description of the Supermembrane theory formulated in the ... more In this work we obtain the Hamiltonian description of the Supermembrane theory formulated in the Light Cone Gauge (L.C.G.) on M_9× T^2 background with constant bosonic three-forms C_± ab. We analyze three different cases depending on the particular values of the constants (C_+ab,C_-ab). When it is imposed a 2-form flux condition over C_+ and vanishing C_-, it coincides with the Halmiltonian of a supermembrane theory irreducibly wrapped around the 2-torus with a vanishing three-form C_μνρ=0, shifted by a constant term. The 2-torus target space flux condition of the first theory induces by a pullback a worldvolume flux that can be identified with the topological invariant associated to the irreducibility of the wrapping condition that appears in the second theory considered. Both theories exhibit a nonvanishing central charge condition in the algebra. The M2-brane theory with constant C_+ exhibits discreteness of the supersymetric spectrum as the theory of irreducible wrapping does, i...
We present the formulation of the bosonic Hamiltonian M2-brane compactified on a twice punctured ... more We present the formulation of the bosonic Hamiltonian M2-brane compactified on a twice punctured torus following the procedure proposed in [1]. In this work we analyse two possible metric choice, different from the one used in [1], over the target space and study some of the properties of the corresponding Hamiltonian.
The formulation of supermembrane theory on nontrivial backgrounds is discussed. In particular, we... more The formulation of supermembrane theory on nontrivial backgrounds is discussed. In particular, we obtain the Hamiltonian of the supermembrane on a background with constant bosonic three form on a target space M_9timesT2M_9 \times T^2M_9timesT2.
Journal of High Energy Physics, 2021
We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified ... more We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified on a twice punctured torus times a 9D Minkowski space-time. It corresponds to a M2-brane formulated in 11D space with ten non-compact dimensions. The critical points like the poles and the zeros of the fields describing the embedding of the Supermembrane in the target space are treated rigorously. The non-trivial compactification generates non-trivial mass terms appearing in the bosonic potential, which dominate the full supersymmetric potential and should render the spectrum of the (regularized) Supermembrane discrete with finite multiplicity. The behaviour of the fields around the punctures generates a cosmological term in the Hamiltonian of the theory.The massive supermembrane can also be seen as a nontrivial uplift of a supermembrane torus bundle with parabolic monodromy in M9 × T2. The moduli of the theory is the one associated with the punctured torus, hence it keeps all the nontri...
Journal of High Energy Physics, 2020
We show that the D = 11 supermembrane theory (M2-brane) compactified on a M9× T2 target space, wi... more We show that the D = 11 supermembrane theory (M2-brane) compactified on a M9× T2 target space, with constant fluxes C± naturally incorporates the geometrical structure of a twisted torus. We extend the M2-brane theory to a formulation on a twisted torus bundle. It is consistently fibered over the world volume of the M2-brane. It can also be interpreted as a torus bundle with a nontrivial U(1) connection associated to the fluxes. The structure group G is the area preserving diffeomorphisms. The torus bundle is defined in terms of the monodromy associated to the isotopy classes of symplectomorphisms with π0(G) = SL(2, Z), and classified by the coinvariants of the subgroups of SL(2, Z). The spectrum of the theory is purely discrete since the constant flux induces a central charge on the supersymmetric algebra and a modification on the Hamiltonian which renders the spectrum discrete with finite multiplicity. The theory is invariant under symplectomorphisms connected and non connected to...
The European Physical Journal C, 2019
The main objective of this work, is to show two inequivalent methods to obtain new spherical symm... more The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein’s Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known to be valid for line elements in Schwarzschild coordinates. As example, we obtained four analytical solutions using Gold III as seed solution. Two solutions, out of four, (one for each algorithm), satisfy the physical acceptability conditions.
Fortschritte der Physik, 2018
The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotro... more The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotropical domain. This will be done via the minimal geometric deformation (MGD) approach, that allow us to decouple the Einstein equations. It requires a perfect fluid known solution that we will choose to be Finch-Skeas(FS) solution. Two different constraints were applied, and in each case we found an interval of values for the free parameters, where necesarly other physical solutions shall live.
Fortschritte der Physik, 2019
The main objective of this work is to study in some detail the Randall-Sundrum gravity under the ... more The main objective of this work is to study in some detail the Randall-Sundrum gravity under the gravitational decoupling through the minimal geometric deformation approach (MGD-decoupling). We show a family of new black hole solutions as well as new exact interior solutions for selfgravitating stellar systems and we discuss the corresponding matching conditions.
Physical Review D, 2021
We discuss the effect that small fluctuations of both local anisotropy and energy density, may ha... more We discuss the effect that small fluctuations of both local anisotropy and energy density, may have on the occurrence of cracking in spherical compact objects satisfying a polytropic equation of state. A systematic scheme to bring the fluid configurations out of hydrostatic equilibrium is revisited. Various models of polytropes are considered and it is shown that departures from equilibrium may lead to the appearance of cracking for a wide range of values of the parameters involved. Prospective applications of the obtained results to some astrophysical scenarios are pointed out.
Fortschritte der Physik, 2021
We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-G... more We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-Gordon scalar field through the minimal geometric deformation decoupling method (MGDdecoupling). We introduce two different ways to apply the MGD-decoupling method to obtain new solutions for this enlarged system. We also compare the behavior of the new solutions with those obtained directly from the Randall-Sumdrum braneworld without coupling to the scalar field.
Gastroenterologia y hepatologia, 2009
In this work we will analyse the complexity factor, proposed by L. Herrera, of spherically symmet... more In this work we will analyse the complexity factor, proposed by L. Herrera, of spherically symmetric static matter distributions satisfying a polytropic equation through the gravitational decoupling method. Specifically, we will use the 2-steps GD, which is a particular case of the Extended Geometric Deformation (EGD), to obtain analytic polytropic solutions of Einstein's equations. In order to give an example, we construct a model satisfying a polytropic equation of state using Tolman IV as seed solution.
In this work we obtain the Hamiltonian description of the Supermembrane theory formulated in the ... more In this work we obtain the Hamiltonian description of the Supermembrane theory formulated in the Light Cone Gauge (L.C.G.) on M_9× T^2 background with constant bosonic three-forms C_± ab. We analyze three different cases depending on the particular values of the constants (C_+ab,C_-ab). When it is imposed a 2-form flux condition over C_+ and vanishing C_-, it coincides with the Halmiltonian of a supermembrane theory irreducibly wrapped around the 2-torus with a vanishing three-form C_μνρ=0, shifted by a constant term. The 2-torus target space flux condition of the first theory induces by a pullback a worldvolume flux that can be identified with the topological invariant associated to the irreducibility of the wrapping condition that appears in the second theory considered. Both theories exhibit a nonvanishing central charge condition in the algebra. The M2-brane theory with constant C_+ exhibits discreteness of the supersymetric spectrum as the theory of irreducible wrapping does, i...
We present the formulation of the bosonic Hamiltonian M2-brane compactified on a twice punctured ... more We present the formulation of the bosonic Hamiltonian M2-brane compactified on a twice punctured torus following the procedure proposed in [1]. In this work we analyse two possible metric choice, different from the one used in [1], over the target space and study some of the properties of the corresponding Hamiltonian.
The formulation of supermembrane theory on nontrivial backgrounds is discussed. In particular, we... more The formulation of supermembrane theory on nontrivial backgrounds is discussed. In particular, we obtain the Hamiltonian of the supermembrane on a background with constant bosonic three form on a target space M_9timesT2M_9 \times T^2M_9timesT2.
Journal of High Energy Physics, 2021
We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified ... more We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified on a twice punctured torus times a 9D Minkowski space-time. It corresponds to a M2-brane formulated in 11D space with ten non-compact dimensions. The critical points like the poles and the zeros of the fields describing the embedding of the Supermembrane in the target space are treated rigorously. The non-trivial compactification generates non-trivial mass terms appearing in the bosonic potential, which dominate the full supersymmetric potential and should render the spectrum of the (regularized) Supermembrane discrete with finite multiplicity. The behaviour of the fields around the punctures generates a cosmological term in the Hamiltonian of the theory.The massive supermembrane can also be seen as a nontrivial uplift of a supermembrane torus bundle with parabolic monodromy in M9 × T2. The moduli of the theory is the one associated with the punctured torus, hence it keeps all the nontri...
Journal of High Energy Physics, 2020
We show that the D = 11 supermembrane theory (M2-brane) compactified on a M9× T2 target space, wi... more We show that the D = 11 supermembrane theory (M2-brane) compactified on a M9× T2 target space, with constant fluxes C± naturally incorporates the geometrical structure of a twisted torus. We extend the M2-brane theory to a formulation on a twisted torus bundle. It is consistently fibered over the world volume of the M2-brane. It can also be interpreted as a torus bundle with a nontrivial U(1) connection associated to the fluxes. The structure group G is the area preserving diffeomorphisms. The torus bundle is defined in terms of the monodromy associated to the isotopy classes of symplectomorphisms with π0(G) = SL(2, Z), and classified by the coinvariants of the subgroups of SL(2, Z). The spectrum of the theory is purely discrete since the constant flux induces a central charge on the supersymmetric algebra and a modification on the Hamiltonian which renders the spectrum discrete with finite multiplicity. The theory is invariant under symplectomorphisms connected and non connected to...
The European Physical Journal C, 2019
The main objective of this work, is to show two inequivalent methods to obtain new spherical symm... more The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein’s Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known to be valid for line elements in Schwarzschild coordinates. As example, we obtained four analytical solutions using Gold III as seed solution. Two solutions, out of four, (one for each algorithm), satisfy the physical acceptability conditions.
Fortschritte der Physik, 2018
The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotro... more The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotropical domain. This will be done via the minimal geometric deformation (MGD) approach, that allow us to decouple the Einstein equations. It requires a perfect fluid known solution that we will choose to be Finch-Skeas(FS) solution. Two different constraints were applied, and in each case we found an interval of values for the free parameters, where necesarly other physical solutions shall live.
Fortschritte der Physik, 2019
The main objective of this work is to study in some detail the Randall-Sundrum gravity under the ... more The main objective of this work is to study in some detail the Randall-Sundrum gravity under the gravitational decoupling through the minimal geometric deformation approach (MGD-decoupling). We show a family of new black hole solutions as well as new exact interior solutions for selfgravitating stellar systems and we discuss the corresponding matching conditions.