Year: 2026
Type: article
Abstract: We systematically investigate static plane symmetric configurations in f ( Q ) gravity. For vacuum regions, we discuss the constancy of the nonmetricity scalar Q and derive general vacuum solutions, which correspond effectively to Taub-(anti) de Sitter spacetimes with a cosmological constant determined by the specific f ( Q ) model. By matching a singular thin shell source to the vacuum solutions, we relate the shell’s energy density and pressure to the integration constants of the exterior geometry. We also examine a finite-thickness slab as another matter source supporting the vacuum solution. Through numerical analysis of a quadratic model $$f(Q)=Q+\alpha Q^2$$ f ( Q ) = Q + α Q 2 with isotropic matter, we show that the maximum pressure inside the slab generally does not coincide with the geometric center. Moreover, a negative $$\alpha $$ α with larger magnitude leads to higher internal pressure and a thicker slab, while models with positive $$\alpha $$ α are incompatible with a self-gravitating slab of positive pressure.
Source: The European Physical Journal C
Authors: Jun-Qin Long, Rui-Hui Lin, Xiang-Hua Zhai
Institution: Shanghai Normal University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G309631082
OpenAlex ID: W7144356957