Affiliation:
1. Institute of Gravitation and Cosmology, RUDN University, 6 Miklukho-Maklaya Str., 117198 Moscow, Russia
2. Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya Str., 119361 Moscow, Russia
Abstract
This review dealt with generalized Melvin solutions for simple finite-dimensional Lie algebras. Each solution appears in a model which includes a metric and n scalar fields coupled to n Abelian 2-forms with dilatonic coupling vectors determined by simple Lie algebra of rank n. The set of n moduli functions Hs(z) comply with n non-linear (ordinary) differential equations (of second order) with certain boundary conditions set. Earlier, it was hypothesized that these moduli functions should be polynomials in z (so-called “fluxbrane” polynomials) depending upon certain parameters ps>0, s=1,…,n. Here, we presented explicit relations for the polynomials corresponding to Lie algebras of ranks n=1,2,3,4,5 and exceptional algebra E6. Certain relations for the polynomials (e.g., symmetry and duality ones) were outlined. In a general case where polynomial conjecture holds, 2-form flux integrals are finite. The use of fluxbrane polynomials to dilatonic black hole solutions was also explored.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference49 articles.
1. Pure magnetic and electric geons;Melvin;Phys. Lett.,1964
2. On Multidimensional Analogs of Melvin’s Solution for Classical Series of Lie Algebras;Golubtsova;Grav. Cosmol.,2009
3. Composite fluxbranes with general intersections;Ivashchuk;Class. Quantum Grav.,2002
4. On interacting fields in general relativity theory;Bronnikov;Russ. Phys. J.,1977
5. Spacetime as a membrane in higher dimensions;Gibbons;Nucl. Phys. B,1987
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