修正引力中的Buchdahl-Bondi极限：相对论性致密星中的额外有效质量
Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars
摘要：
我们概括的Buchdahl-Bondi极限的情况下，静态的，球对称的，相对论性致密恒星沉浸在史瓦西真空中的f（R）-引力理论，受到非常通用的规律性，热力学稳定性和匹配条件。类似于广义相对论的情况，我们的结果是模型无关的，并保持真实的任何物理现实的状态方程的标准恒星物质。我们证明了在这些理论中可以存在超大质量的稳定恒星，其表面红移大于2，这在广义相对论中是不允许的。这一结果为广义相对论的有效性提供了一个新颖而有趣的观测检验，也为暗物质问题提供了一个可能的解决方案。
英文摘要：
We generalise the Buchdahl-Bondi limit for the case of static, spherically symmetric, relativistic compact stars immersed in Schwarzschild vacuum in f(R)-theory of gravity, subject to very generic regularity, thermodynamic stability and matching conditions. Similar to the case of general relativity, our result is model independent and remains true for any physically realistic equation of state of standard stellar matter. We show that an extra-massive stable star can exist in these theories, with surface redshift larger than 2, which is forbidden in general relativity. This result gives a novel and interesting observational test for validity or otherwise of general relativity and also provides a possible solution to the dark matter problem.
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