Abstract:
New solutions are found for the equations of Kaluza–Klein theory and superstrings
corresponding to spontaneous compactification and using compact manifolds of
constant negative curvature and surfaces of KЗ type. The part played by manifolds
of constant negative curvature in Kaluza–Klein theory is discussed. Solutions
corresponding to the existence of additional time dimensions with vanishing cosmological
constant are also found.
Citation:
I. Ya. Aref'eva, I. V. Volovich, “Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories”, TMF, 64:2 (1985), 329–336; Theoret. and Math. Phys., 64:2 (1985), 866–871
\Bibitem{AreVol85}
\by I.~Ya.~Aref'eva, I.~V.~Volovich
\paper Manifolds of constant negative curvature as vacuum solutions in Kaluza--Klein and superstring theories
\jour TMF
\yr 1985
\vol 64
\issue 2
\pages 329--336
\mathnet{http://mi.mathnet.ru/tmf5001}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=826524}
\zmath{https://zbmath.org/?q=an:0602.53059}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 2
\pages 866--871
\crossref{https://doi.org/10.1007/BF01017969}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985A491800015}
Linking options:
https://www.mathnet.ru/eng/tmf5001
https://www.mathnet.ru/eng/tmf/v64/i2/p329
This publication is cited in the following 19 articles:
V V Monakhov, “Spacetime and inner space of spinors in the theory of superalgebraic spinors”, J. Phys.: Conf. Ser., 1557:1 (2020), 012031
Monakhov V., “Vacuum and Spacetime Signature in the Theory of Superalgebraic Spinors”, Universe, 5:7 (2019), 162
P. E. Brandyshev, “Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the curvature”, Theoret. and Math. Phys., 188:1 (2016), 1099–1108
S. D. Odyntsov, “Vilkovisky effective action in quantum gravity with matter”, Theoret. and Math. Phys., 82:1 (1990), 45–51
I. L. Buchbinder, V. P. Dergalev, S. D. Odyntsov, “Vilkovisky–DeWitt effective action in multidimensional quantum gravity and antiperiodic boundary conditions”, Theoret. and Math. Phys., 80:1 (1989), 776–782
M.D. Pollock, “On the origin of compactification in the superstring theory”, Physics Letters B, 227:2 (1989), 221
I. Ya. Aref'eva, I. V. Volovich, B. G. Dragovich, “Spontaneous reduction in multidimensional (D=10,11) supergravity theories with arbitrary signature”, Theoret. and Math. Phys., 70:3 (1987), 297–304
D. V. Vassilevich, “Compactification of ten-dimensional Kaluza–Klein model and superstring”, Theoret. and Math. Phys., 72:1 (1987), 742–747
M.D. Pollock, “Compactification and inflation in the superstring theory from the condensation of gravitino pairs”, Physics Letters B, 199:4 (1987), 509
I.Ya. Aref'eva, I.V. Volovich, “Hyperbolic manifolds as vacuum solutions in Kaluza-Klein theories”, Nuclear Physics B, 274:3-4 (1986), 619
I.Ya. Aref'eva, B.G. Dragović, I.V. Volovich, “Extra time-like dimensions lead to a vanishing cosmological constant”, Physics Letters B, 177:3-4 (1986), 357
M.D. Pollock, “A positive semi-definite action in a Kaluza-Klein theory with compactification onto time-like extra dimensions”, Physics Letters B, 174:3 (1986), 251
I.Ya. Aref'eva, I.V. Volovich, “Kaluza-Klein theories and the signature of space-time”, Physics Letters B, 164:4-6 (1985), 287
Citation in format AMSBIB
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