arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2407.10071astro-ph.COastro-ph.HE
收藏

从随机引力波背景看大反弹宇宙学的原初引力波

Primordial Gravitational Waves of Big Bounce Cosmology in Light of Stochastic Gravitational Wave Background

Changhong Li

AI总结:

本研究针对通用大反弹宇宙学,将背景演化参数化为四阶段,解析推导原初引力波谱的显式形式,将反弹情景分为四类并以玩具模型验证,为利用PTA及先进引力波探测器的SGWB信号探索宇宙极早期提供理论工具。

摘要:

来自宇宙极早期阶段(如暴胀或反弹过程)的原初引力波,是随机引力波背景(SGWB)不可约的宇宙学来源。近期,包括NANOGrav、EPTA、PPTA、IPTA和CPTA在内的脉冲星计时阵(PTA)在纳赫兹频段附近探测到SGWB信号,为通过这些原初引力波探索宇宙极早期阶段打开了新窗口。在本研究中,我们通过将背景演化参数化为四个阶段(其中扰动模式会两次退出并重新进入视界),研究了通用大反弹宇宙学中原初引力波的产生与演化。通过解析求解原初引力波的运动方程并在边界处匹配解,我们得到了通用大反弹宇宙学中原初引力波谱的显式形式。我们发现,根据原初引力波的演化特征,通用大反弹宇宙学情景可分为四种不同类型。我们为这些类别引入了四个玩具模型,证明我们的解析结果可直接应用于各类反弹宇宙模型——这类模型的背景物态方程在每个阶段均为常数。我们还展望了该结果在未来的应用:可通过贝叶斯分析,用于解释PTA以及SKA、太极(Taiji)、天琴(Tianqin)、LISA、DECIGO和aLIGO/Virgo/KAGRA等即将投入使用的先进引力波探测器所搜寻的SGWB信号。

英文摘要:

Primordial gravitational waves from the very early stages of the universe, such as inflation or bounce processes, are an irreducible cosmological source of the stochastic gravitational wave background (SGWB). The recent detection of SGWB signals around the nano-Hertz frequency by pulsar timing arrays (PTAs), including NANOGrav, EPTA, PPTA, IPTA, and CPTA, opens a new window to explore these very early stages of the universe through these primordial gravitational waves. In this work, we investigate the generation and evolution of primordial gravitational waves in a generic big bounce cosmology by parameterizing its background evolution into four phases, where perturbation modes exit and re-enter the horizon twice. By analytically solving the equation of motion for primordial gravitational waves and matching solutions at the boundaries, we obtain the explicit form of the primordial gravitational wave spectrum in a generic big bounce cosmology. We find that, according to the evolution of primordial gravitational waves, a generic scenario of big bounce cosmology can be categorized into four distinct types. We introduce four toy models for these categories, demonstrating that our analytical results can be straightforwardly applied to various bouncing universe models in which the equation of state of the background is constant in each phase. We also prospect future applications of our results in interpreting SGWB signals searched by PTAs and upcoming advanced gravitational wave detectors such as SKA, Taiji, Tianqin, LISA, DECIGO, and aLIGO/Virgo/KAGRA using Bayesian analysis.

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。

↑