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arXiv 0901.0662gr-qcastro-ph.COhep-phhep-th
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自发洛伦兹破坏的引力

Gravity from spontaneous Lorentz violation

Alan Kostelecky, Robertus Potting

摘要:

我们研究了闵可夫斯基时空中对称双张量场的一类理论,该理论具有自发破坏洛伦兹对称性的势能。结果表明,所产生的无质量Nambu-Goldstone模式服从线性化的爱因斯坦方程在一个固定的规范。对能量-动量张量施加自洽耦合约束了洛伦兹破坏的可能性。自洽自举产生的非线性理论是另一种引力理论,包含动力学和势项以及物质耦合。在能量小于普朗克尺度的情况下,这个理论包含了广义相对论,黎曼时空度规是由双张量场和闵可夫斯基度规组合而成的。在高能量下,理论的结构与广义相对论有质的不同。在适当的引力实验中可以产生可观测的效应。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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