绝对平行、修正引力和引力短波的压制
Absolute parallelism, modified gravity, and suppression of gravitational short waves
摘要:
有一个独特的变种绝对量子力学,这是非常简单的,因为它没有自由参数:没有什么(也D=5)可以改变,如果保持理论的安全,从新兴的奇点的解决方案。相反,由于平凡解的线性不稳定性,这个理论的永恒解应该非常复杂,在某些情况下(具有一组缓慢变化的解参数)可以提供一些唯象模型,包括修改的(更好地说,新的或另一个)引力和膨胀壳宇宙学(纵向极化给出了反米尔恩模型)。前者看起来(大部分)像是沿着额外维度的巨大尺度L的膜上的张量-里奇平方引力的变体。对牛顿引力定律的修正,在这个理论中依赖于两个参数(双拉普拉斯方程),在大尺度上表现为1/r,r>L(kpc>L>pc),如果对这些参数施加约束,可以从零开始(林德勒项消失)。进一步考虑,我们可以得出结论,在这种新引力中,引力“短波”λ<L的产生受到抑制。
英文摘要:
There is a unique variant of Absolute Parallelism, which is very simple as it has no free parameters: nothing (nor D=5) can be changed if to keep the theory safe from emerging singularities of solutions. On the contrary, eternal solutions of this theory, due to the linear instability of the trivial solution, should be of great complexity which can in some scenarios (with a set of slowly varying parameters of solutions) provide a few phenomenological models including a modified (better to say, new or another) gravity and an expanding-shell cosmology (the longitudinal polarization gives the anti-Milne model). The former looks (mostly) like a variant of tensor-Ricci-squared gravity on a brane of a huge scale L along the extra-dimension. The correction to Newton's law of gravity, which depends in this theory on two parameters (bi-Laplace equation) and behaves as 1/r on large scales, r>L (kpc>L>pc), can start from zero (the Rindler term vanishes) if a constraint is imposed on these parameters. On further consideration, one can conclude that generation of gravitational `short' waves, λ<L, is inhibited in this new gravity.
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