Year: 2020
Type: article
Abstract: A symmetry principle has been shown to augment unambiguously the Einstein field equations, promoting the whole closed-string massless NS-NS sector to stringy graviton fields. Here we consider its weak field approximation, take a nonrelativistic limit, and derive the stringy augmentation of Newton gravity: ${\mathbf{\ensuremath{\nabla}}}^{2}\mathrm{\ensuremath{\Phi}}=4\ensuremath{\pi}G\ensuremath{\rho}+\mathbf{H}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbf{H}$, $\mathbf{\ensuremath{\nabla}}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbf{H}=0$, $\mathbf{\ensuremath{\nabla}}\ifmmode\times\else\texttimes\fi{}\mathbf{H}=4\ensuremath{\pi}G\mathbf{K}$. Not only the mass density $\ensuremath{\rho}$ but also the current density $\mathbf{K}$ is intrinsic to matter. Sourcing $\mathbf{H}$ which is of NS-NS $H$-flux origin, $\mathbf{K}$ is nontrivial if the matter is ``stringy.'' $\mathbf{H}$ contributes quadratically to the Newton potential, but otherwise is decoupled from the point particle dynamics, i.e., $\stackrel{\ifmmode\ddot\else\textasciidieresis\fi{}}{\mathbf{x}}=\ensuremath{-}\mathbf{\ensuremath{\nabla}}\mathrm{\ensuremath{\Phi}}$. We define ``stringization'' analogous to magnetization and discuss regular as well as monopolelike singular solutions.
Authors: Kyoungho Cho, Kevin Morand, Jeong-Hyuck Park
Institution: Sogang University
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1538922208, G758174883, G7920042807
OpenAlex ID: W2998545869