标题： 自发洛伦兹对称性破缺的引力 显示英文标题

标题： Gravity from spontaneous Lorentz violation

摘要： 我们研究了一类涉及对称二阶张量场的理论，在闵可夫斯基时空中具有引发洛伦兹对称性自发破坏的势能。 结果得到的无质量Nambu-Goldstone模在固定规范下被证明满足线性化的爱因斯坦方程。 施加与能量-动量张量自洽耦合限制了洛伦兹破坏的势能。 从自洽的自举生成的非线性理论是一种替代的引力理论，包含动能项和势能项以及物质耦合。 在比普朗克尺度小的能量下，该理论包含广义相对论，黎曼时空度规作为二阶张量场和闵可夫斯基度规的组合构建。 在高能下，该理论的结构与广义相对论定性不同。 在合适的引力实验中可能会出现可观测效应。 显示英文摘要

摘要： We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the linearized Einstein equations in a fixed gauge. Imposing self-consistent coupling to the energy-momentum tensor constrains the potential for the Lorentz violation. The nonlinear theory generated from the self-consistent bootstrap is an alternative theory of gravity, containing kinetic and potential terms along with a matter coupling. At energies small compared to the Planck scale, the theory contains general relativity, with the Riemann-spacetime metric constructed as a combination of the two-tensor field and the Minkowski metric. At high energies, the structure of the theory is qualitatively different from general relativity. Observable effects can arise in suitable gravitational experiments.