Modified dynamical supergravity breaking and off-diagonal super-Higgs effects

Gheorghiu, Tamara; Vacaru, Olivia; Vacaru, Sergiu I.

doi:10.1088/0264-9381/32/6/065004

Cited by 13 publications

(85 citation statements)

References 66 publications

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“…Such constructions will be applied in order to extend the approach for solutions encoding quasiperiodic and/or pattern forming, solitonic distributions and nonlinear wave gravitational and matter field structures. Details, examples with small parametric decompositions and rigorous mathematical proofs are contained in [8,9,10,11,12,13,14,20,21,22,23,24,25,26], see also a summary of necessary N-adapted formulas in Appendix A.…”

Section: A Brief Review Of the Afdmmentioning

confidence: 99%

Deforming black hole and cosmological solutions by quasiperiodic and/or pattern forming structures in modified and Einstein gravity

2018

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We elaborate on the anholonomic frame deformation method, AFDM, for constructing exact solutions with quasiperiodic structure in modified gravity theories, MGTs, and general relativity, GR. Such solutions are described by generic off-diagonal metrics, nonlinear and linear connections and (effective) matter sources with coefficients depending on all spacetime coordinates via corresponding classes of generation and integration functions and (effective) matter sources. There are studied effective free energy functionals and nonlinear evolution equations for generating offdiagonal quasiperiodic deformations of black hole and/or homogeneous cosmological metrics. The physical data for such functionals are stated by different values of constants and prescribed symmetries for defining quasiperiodic structures at cosmological scales, or astrophysical objects in nontrivial gravitational backgrounds some similar forms as in condensed matter physics. It is shown how quasiperiodic structures determined by general nonlinear, or additive, functionals for generating functions and (effective) sources may transform black hole like configurations into cosmological metrics and inversely. We speculate on possible implications of quasiperiodic solutions in dark energy and dark matter physics. Finally, it is concluded that geometric methods for constructing exact solutions consist an important alternative tool to numerical relativity for investigating nonlinear effects in astrophysics and cosmology.

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Section: A Brief Review Of the Afdmmentioning

confidence: 99%

Deforming black hole and cosmological solutions by quasiperiodic and/or pattern forming structures in modified and Einstein gravity

2018

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“…Future research on extended on jet variables (super) gravity and cosmological solutions in modified gravity theories a planned following recent works on supersting gravity and modified gravity theories 8,9 .…”

Section: Kerr Ricci Soliton Deformations and Effective Vacuum R-jet Pmentioning

confidence: 99%

Generic off-diagonal solutions and jet deformations in modified and/or higher dimension gravity theories

Rajpoot¹,

Vacaru²

2017

The Fourteenth Marcel Grossmann Meeting

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Let g be a pseudo-Riemanian metric on a manifold V with conventional n+n dimensional splitting, n ≥ 2, for a nonholonomic (non-integrable) distribution N and consider a correspondingly adapted linear metric compatible connection D and its torsion T , both completely determined by g. We prove that there are certain generalized frame and/or jet transforms and prolongations with (g, V) → ( g, V) into explicit classes of solutions of some generalized Einstein equations Ric = Λ g, Λ = const, encoding various types of (nonholonomic) Ricci soliton configurations and/or jet variables and symmetries, in particular, subject to the condition T = 0. This allows us to construct in general form generic off-diagonal exact solutions depending on all space time coordinates on V and its jet prolongations, via generating and integration functions and various classes of constants and associated symmetries. We consider an example when exact solutions are constructed as nonholonomic jet prolongations of the Kerr metrics, with possible Ricci soliton deformations, and characterized by generalized connections.Keywords: Nonholonomic manifolds and jets; geometric methods and PDE; Ricci solitons and Einstein spaces; exact solutions and modified gravity. Nonholonomic jets and (pseudo) Riemannian manifoldsJets are certain equivalence classes of smooth maps between two manifolds M, dim M = n, and Q, dim Q = m, when maps are represented by Taylor polynomials 7 . One writes this as f, g : M → Q: a r-jet is determined at a point u ∈ M if there is a r-th order contact at u. Two curves γ, δ : R → V have the r-th contact at zero if for every smooth function ϕ on M the difference ϕ • γ − ϕ • δ vanishes to r-th order at 0 ∈ R. In this case, we have an equivalence relation γ ∼ r δ whenTwo maps f, g : V → Q are said to determine the same r-jet at x ∈ M, if for every curve γ : R → V with γ(0) = x the curves f • γ and g • γ have the r-th order contact at zero. In such a case, we write j. An equivalence class of this relation is called an r-jets of M into Q. The set of all r-jets of M into Q is denoted by J r (M, Q); for an element X = j r x f ∈ J r (M, Q), the point x := αX is the source of X and the point f (x) =: βX is the target of X. * DAAD fellowship affiliations for two host institutions The Fourteenth Marcel Grossmann Meeting Downloaded from www.worldscientific.com by 54.191.190.102 on 05/11/18. For personal use only.

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“…In a series of works [1][2][3][4][5] , we developed a geometric approach (the anholonomic frame deformation method, AFDM) for constructing generic off-diagonal exact solutions in modified gravity theories, MGTs, and general relativity, GR. Such a geometric techniques involve re-formulation of physical models in certain classes of nonholonomic variables (nonintegrable frames with distortion of connections) when the gravitational and matter field equations decouple as certain systems of * DAAD fellowship affiliations for two host institutions The Fourteenth Marcel Grossmann Meeting Downloaded from www.worldscientific.com by 54.202.163.228 on 05/07/18.…”

Section: Introductionmentioning

confidence: 99%

“…where μ is the graviton's mass and q = {q αβ } is the so-called non-dynamical reference metric; m L is the Lagrangian for matter fields; see corresponding details in references [1][2][3][4][5] . A variational N-adapted calculus on form fields A, B, H of actions (1) and metric g results in effective gravitational field equations…”

Section: Introductionmentioning

confidence: 99%

Off-diagonal wormhole and black hole deformations and dark energy in two measure/bi-metric modified gravity theories

Gheorghiu¹,

Vacaru²,

Vacaru³

2017

The Fourteenth Marcel Grossmann Meeting

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We find general parameterizations for generic off-diagonal spacetime metrics and matter sources in general relativity (GR) and two measure/bi-metric modified gravity theories, MGTs, when the field equations decouple with respect to nonholonomic frames of reference. This allows us to construct various classes of exact solutions when the coefficients of the fundamental geometric/physical objects depend on all spacetime coordinates via corresponding classes of generating and integration functions and/or constants. Such (modified) spacetimes display Killing and non-Killing symmetries, describe nonlinear vacuum configurations and effective polarizations of cosmological and interaction constants. Certain examples of exact locally anisotropic wormhole and generic off-diagonal cosmological solutions are analysed for MGTs of massive and/or modified f(R,T) gravity, two measure theory etc. We conclude that considering generic off-diagonal nonlinear parametric interactions in GR it is possible to mimic various effects in massive and/or modified gravity, or to distinguish certain classes of generic modified gravity solutions which cannot be encoded in GR.

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Modified dynamical supergravity breaking and off-diagonal super-Higgs effects

Cited by 13 publications

References 66 publications

Deforming black hole and cosmological solutions by quasiperiodic and/or pattern forming structures in modified and Einstein gravity

Deforming black hole and cosmological solutions by quasiperiodic and/or pattern forming structures in modified and Einstein gravity

Generic off-diagonal solutions and jet deformations in modified and/or higher dimension gravity theories

Off-diagonal wormhole and black hole deformations and dark energy in two measure/bi-metric modified gravity theories

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