Convoluted solutions in supergravity

4th Symposium on Prospects in the Physics of Discrete Symmetries

Ghezelbash, A.M.^1

Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon

SK

S7N 5E2, Canada^1

关键词: Dimensional reduction;    Einstein-Maxwell theory;    Exact solution;    Higher dimensions;    Positive cosmological constant;    Special functions;    Supersymmetries;    Transverse coordinate;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/631/1/012075/pdf
DOI  :  10.1088/1742-6596/631/1/012075

来源: IOP

【 摘 要 】

Inspired by the convoluted solutions for two intersecting M2 branes in elevendimensional supergravity, in which one brane in the system is completely localized along the overall and relative transverse coordinates while the other brane in the system is localized only along the overall transverse coordinates, we construct two classes of exact solutions to Einstein-Maxwell theory in six and higher dimensions. We show that the membrane configuration preserves four supersymmetries and upon dimensional reduction, the solutions provide intersecting configurations of three D-branes in type IIA supergravity. Moreover, we show that the metric functions in six and higher dimensions can be written as convolution-like integrals of two special functions. The solutions are regular everywhere and show a bolt structure on a single point in any dimensionality. Also, we find the exact nonstationary solutions to the Einstein-Maxwell theory with positive cosmological constant. We show that the cosmological solutions are expanding patches in asymptotically de Sitter spacetime.