分支哈密顿量问题、膨胀及广义Tele平行理论中标量场的不可替代性
Issue of Branched Hamiltonian, Inflation and indispensability of scalar field in generalized Teleparallel theories
AI总结：
本文研究了广义Tele平行引力理论中分支哈密顿量问题，通过能量条件固定耦合参数，证明该理论不受分支哈密顿量影响，并探讨了标量场驱动的膨胀与辐射时期的关系，指出标量场在暗能量中的作用。
摘要：
广义Tele平行引力理论被提出作为暗能量和修正引力理论的替代方案。然而，TEGR和STEGR的最小泛化导致了分支哈密顿量问题。在此研究中，我们在FLRW背景中固定模型的耦合参数，基于能量条件证明该理论不受分支哈密顿量问题影响，不同于二次-order Lanczos-Lovelock引力理论。我们还研究了由标量场驱动的膨胀，其与近期观测结果有良好一致。然而，一个可行的辐射时期需要标量场的存在，其在晚期宇宙中作为暗能量保留。因此，作为暗能量替代方案的基本主张存疑。
英文摘要：
Generalized Teleparallel gravity theories were proposed as alternatives to the dark energy and modified theories of gravity. However, minimal generalization of TEGR and STEGR lead to the issue of branched Hamiltonian. Here, in the FLRW background we fix the coupling parameters of the said model in view of energy condition and show that the theory is free from the issue of Branched Hamiltonian unlike second-order Lanczos-Lovelock gravity. We also study scalar field driven inflation, which shows excellent agreement with recent observations. Nonetheless, a viable radiation era requires the very presence of the scalar field, which is retained at the late universe as dark energy. Thus the fundamental claim to act as an alternative to the dark energy is dubious.
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