揭开Rastall-Rainbow引力中虫洞形成之谜：基于嵌入方法的综合研究
Unraveling the mysteries of wormhole formation in Rastall-Rainbow gravity: A comprehensive study using the embedding approach
AI总结：
本文在Rastall-Rainbow引力框架下，利用Karmarkar嵌入条件解析求解静态球对称虫洞解，分析了能量条件违反、绝热声速稳定性以及Rastall参数与Rainbow函数对虫洞结构的影响。
摘要：
本工作探讨了Rastall-Rainbow引力中静态球对称虫洞几何的可能存在性。由于Rastall-Rainbow引力模型是由Rastall理论与引力彩虹形式体系相结合而构建的，我们利用一类嵌入度规的Karmarkar条件，在特定红移函数选择下解析求解了描述虫洞的修正场方程。在特定参数范围内，该解表示一个可穿越虫洞，其表现出零能量条件的违反，进而也违反弱能量条件。此外，我们通过绝热声速分析着重研究了虫洞的稳定性。该模型在两个模型参数，即Rastall参数与Rainbow函数之间建立了紧密联系，并揭示了这种联系如何影响虫洞解。
英文摘要：
The present work looks for the possible existence of static and spherically symmetric wormhole geometries in Rastall-Rainbow gravity. Since, the Rastall-Rainbow gravity model has been constructed with the combination of Rastall theory and the gravity's rainbow formalism. Taking advantage of the Karmarkar condition for embedding class one metrics, we solve the modified field equations analytically that describe wormholes for specific choice of redshift function. For specific parameter ranges, the solution represents a traversable wormhole that exhibits the violation of null energy condition and consequently the weak energy condition also. Furthermore, we focus on the wormhole stability via adiabatic sound velocity analysis. This model establishes a strong connection between two model parameters, namely, the Rastall parameters and the Rainbow functions, and how it affects the wormhole solution.
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。
