论文标题
与不匹配的麸皮的几何形状
Geometries with mismatched branes
论文作者
论文摘要
我们研究了Randall-Sundrum两个Brane设置，具有不匹配的Brane张力。对于真空溶液，边界条件要求每个麸皮上的诱导度量是de Sitter，Anti-DE保姆或Minkowski。对于不兼容的边界条件，批量度量必定是时间依赖性的。这引入了一类新的时间依赖性解决方案，具有解决宇宙学问题的潜力，并为常规通货膨胀（或合同）方案提供了替代方案。我们在本文中迈出了此类解决方案的第一步。一个重要的发现是，可以通过仅涉及在其中一个麸皮和辐射场上的诱导度量的有效动作来简洁地描述所得的溶液。但是完整的几何形状不一定可以简单地用单个坐标贴片来描述。我们在这里集中精力于时间依赖性的解决方案，但认为补充了勃雷稳定机制，人们可以通过这种方式构建有趣的宇宙学模型。有和没有勃雷稳定机制，这是正确的。
We study Randall-Sundrum two brane setups with mismatched brane tensions. For the vacuum solutions, boundary conditions demand that the induced metric on each of the branes is either de Sitter, Anti-de Sitter, or Minkowski. For incompatible boundary conditions, the bulk metric is necessarily time-dependent. This introduces a new class of time-dependent solutions with the potential to address cosmological issues and provide alternatives to conventional inflationary (or contracting) scenarios. We take a first step in this paper toward such solutions. One important finding is that the resulting solutions can be very succinctly described in terms of an effective action involving only the induced metric on either one of the branes and the radion field. But the full geometry cannot necessarily be simply described with a single coordinate patch. We concentrate here on the time-dependent solutions but argue that supplemented with a brane stabilization mechanism one can potentially construct interesting cosmological models this way. This is true both with and without a brane stabilization mechanism.
