Milgrom双度量引力理论中的FRW宇宙学
FRW cosmology in Milgrom's bimetric theory of gravity
摘要：
我们考虑空间均匀和各向同性的Friedmann-Robertson-Walker（FRW）解决方案Milgrom最近提出的双度量引力理论类。这些理论有两个不同的制度，相应的高和低的加速度。我们发现简单的幂律物质占主导地位的解决方案，以及解决方案与空间曲率，和指数膨胀的解决方案。在高加速度极限下，这些解表现得像广义相对论的FRW解，其中的宇宙学常数项具有正确的数量级，可以解释观测到的宇宙加速膨胀。我们发现，解决方案，保持在高加速制度的整个历史，但是，需要非重子暗物质领域，或额外的相互作用项在其引力拉格朗日，为了观测上是可行的。低加速度制度也提供了一些空间来解释这一赤字，其解决方案与广义相对论的解决方案有很大不同。
英文摘要：
We consider spatially homogeneous and isotropic Friedmann-Robertson-Walker (FRW) solutions of Milgrom's recently proposed class of bimetric theories of gravity. These theories have two different regimes, corresponding to high and low acceleration. We find simple power-law matter dominated solutions in both, as well as solutions with spatial curvature, and exponentially expanding solutions. In the high acceleration limit these solutions behave like the FRW solutions of General Relativity, with a cosmological constant term that is of the correct order of magnitude to explain the observed accelerating expansion of the Universe. We find that solutions that remain in the high acceleration regime for their entire history, however, require non-baryonic dark matter fields, or extra interaction terms in their gravitational Lagrangian, in order to be observationally viable. The low acceleration regime also provides some scope to account for this deficit, with solutions that differ considerably from their general relativistic counterparts.
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