论文标题

$ f(q)$重力中的braneworlds

Braneworlds in $f(Q)$ gravity

论文作者

Silva, J. E. G., Maluf, R. V., Olmo, Gonzalo J., Almeida, C. A. S.

论文摘要

我们在修改的对称触电引力理论中提出了一个Braneworld方案,其中重力场的动力学是在非型度张量而不是曲率中编码的。假设有一个具有正弦戈登自我交流的单个真实标量场,则广义的二次不变$ \ mathbb {q} $控制勃雷宽度,同时保持能量密度的形状。通过考虑重力拉格朗日中不变$ \ mathbb {q} $的功率校正,正弦势能被修改,表现出新的障碍和虚假的真空。结果,域壁brane获得了内部结构,并且经历了分裂过程。此外,我们还提出了一个散装费米昂和非对象不变$ \ mathbb {q} $之间的非最小耦合。这样的几何耦合导致与3个大国和稳定的非定位质量状态的稳定塔结合的无质手性手费。

We propose a braneworld scenario in a modified symmetric teleparallel gravitational theory, where the dynamics for the gravitational field is encoded in the nonmetricity tensor rather than in the curvature. Assuming a single real scalar field with a sine-Gordon self-interaction, the generalized quadratic nonmetricity invariant $\mathbb{Q}$ controls the brane width while keeping the shape of the energy density. By considering power corrections of the invariant $\mathbb{Q}$ in the gravitational Lagrangian, the sine-Gordon potential is modified exhibiting new barriers and false vacuum. As a result, the domain wall brane obtains an inner structure, and it undergoes a splitting process. In addition, we also propose a non-minimal coupling between a bulk fermion field and the nonmetricity invariant $\mathbb{Q}$. Such geometric coupling leads to a massless chiral fermion bound to the 3-brane and a stable tower of non-localized massive states.

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