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Related papers: DPSV trick for spherically symmetric backgrounds

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Using new approach for the deformation procedure in the case of reducible gauge theories (Lavrov in Eur. Phys. J. C 82:429, 2022), it is shown that in the model of massless spin 3 field and a real scalar field local cubic and quartic…

High Energy Physics - Theory · Physics 2023-04-28 P. M. Lavrov

The arguments leading to the introduction of the massive Nonsymmetric Gravitational action are reviewed \cite{Moffat:1994,Moffat:1995b}, leading to an action that gives asymptotically well-behaved perturbations on GR backgrounds. Through…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. A. Clayton

We use the covariant formulation proposed in Tattersall et al (2017) to analyse the structure of linear perturbations about a spherically symmetric background in different families of gravity theories, and hence study how quasi-normal modes…

General Relativity and Quantum Cosmology · Physics 2018-02-21 Oliver J. Tattersall , Pedro G. Ferreira , Macarena Lagos

In this paper we consider different classical effects in a model for a scalar field incorporating Lorentz symmetry breaking due to the presence of a single background vector v^{\mu} coupled to its derivative. We perform an investigation of…

High Energy Physics - Theory · Physics 2020-05-26 L. H. C. Borges , A. F. Ferrari , F. A. Barone

Static coordinates can be convenient to solve the vacuum Einstein's equations in presence of spherical symmetry, but for cosmological applications comoving coordinates are more suitable to describe an expanding Universe, especially in the…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Camilo Santa Velez , Antonio Enea Romano

3D image processing constitutes nowadays a challenging topic in many scientific fields such as medicine, computational physics and informatics. Therefore, development of suitable tools that guaranty a best treatment is a necessity.…

Numerical Analysis · Computer Science 2018-05-22 Malika Jallouli , Wafa Bel Hadj Khalifa , Anouar Ben Mabrouk , Mohamed Ali Mahjoub

We discuss solutions of the heterotic string theory which are analogous to bosonic and superstring backgrounds related to coset conformal field theories. A class of exact `left-right symmetric' solutions is obtained by supplementing the…

High Energy Physics - Theory · Physics 2009-09-25 A. Giveon , E. Rabinovici , A. A. Tseytlin

A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect in noncommuting coordinates at the first order in the…

High Energy Physics - Theory · Physics 2009-12-10 O. F. Dayi , M. Elbistan

The present paper has the purpose to illustrate the importance of the ideas and constructions of the Non-Euclidean (Lobachevsky) Geometry, which can be applied even today for solving some conceptually important problems. We study the static…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Kozyrev

The idea of the work is to find an invariant way to pass from deformation theory to cohomology, which does not use any explicit cocycles. The appropriate cohomology theory is based on considering sheaves on a certain site. An advantage of…

alg-geom · Mathematics 2008-02-03 D. Gaitsgory

This paper establishes a variant of Stewart's theorem (Theorem~6.4 of Stewart, {\em SIAM Rev.}, 15:727--764, 1973) for the singular subspaces associated with the SVD of a matrix subject to perturbations. Stewart's original version uses both…

Numerical Analysis · Mathematics 2024-06-12 Ren-Cang Li , Ninoslav Truhar , Lei-Hong Zhang

We apply the loop group method developed by Zakharov-Shabat, Terng-Uhlenbeck and Toda to the study of symmetries of pseudospherical surfaces in R^3. In this paper (part I) we consider the general theory, while in a second paper (part II) we…

Differential Geometry · Mathematics 2009-07-06 Josef F. Dorfmeister , Thomas A. Ivey , Ivan Sterling

We consider a variant of the Nojiri-Odintsov covariant Horava-like gravitational model, where diffeomorphism invariance is broken dynamically via a non-standard coupling to a perfect fluid. The theory allows to address some of the potential…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

A microscopic theory of linear response based on the Vlasov equation is extended to systems having spheroidal equilibrium shape. The solution of the linearized Vlasov equation, which gives a semiclassical version of the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 A. Dellafiore , F. Matera , F. A. Brieva

To endow the N=1* SYM theory with quarks, we embed D7-brane probes into its gravity dual, known as the Polchinski-Strassler background. The non-vanishing 3-form flux G_3 in the background is dual to mass terms for the three adjoint chiral…

High Energy Physics - Theory · Physics 2008-11-26 Christoph Sieg

We show that very general scalar-tensor theories of gravity (including, e.g., Horndeski models) are generically invariant under disformal transformations. However there is a special subset, when the transformation is not invertible, that…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Frederico Arroja , Nicola Bartolo , Purnendu Karmakar , Sabino Matarrese

Finding appropriate notions of discrete holomorphic maps and, more generally, conformal immersions of discrete Riemann surfaces into 3-space is an important problem of discrete differential geometry and computer visualization. We propose an…

Differential Geometry · Mathematics 2012-12-21 Christoph Bohle , Franz Pedit , Ulrich Pinkall

We present supersymmetric, curved space, quantum mechanical models based on deformations of a parabolic subalgebra of osp(2p+2|Q). The dynamics are governed by a spinning particle action whose internal coordinates are Lorentz vectors…

High Energy Physics - Theory · Physics 2008-11-26 K. Hallowell , A. Waldron

In this paper we prove the existence of a solution to the Dirichlet problem for harmonic maps into a geodesic ball on which the squared distance function from the origin is strictly convex. This improves a celebrated theorem obtained by S.…

Differential Geometry · Mathematics 2017-11-28 Stefano Pigola , Giona Veronelli

We investigate the SL(2,R) invariant geodesic curves with the as- sociated invariant distance function in parabolic geometry. Parabolic geom- etry naturally occurs in the study of SL(2,R) and is placed in between the elliptic and the…

Metric Geometry · Mathematics 2013-02-19 Anastasia V. Kisil