论文标题
自举的牛顿重力中的二进制合并：质量差距和黑洞地区法律
Binary mergers in bootstrapped Newtonian gravity: mass gap and black hole area law
论文作者
论文摘要
我们研究了自举的牛顿重力中的二进制合并，其中高阶耦合被添加到非相关的Lagrangian中，以获得牛顿潜力。在这一理论中，Arnowitt-Deser-Misner（ADM）质量与适当的牛顿重力和适当的一般相对性质量不同，这会影响天体物理和宇宙学事件的解释。上述差异特别为发射物质的质量和合并后最终物体的紧凑性提供了重要的现象学约束。该理论中GW150914信号的解释还表明，Ligo的发现并不违反质量差距，这与通常的主张相反。我们确实发现，典型的恒星黑洞质量可以适合Ligo的数据，以达到相当多的紧凑型值。我们在这种情况下计算黑洞熵，这导致了一项广义的黑洞区域。在这种情况下，发现非线性效应仅通过牛顿常数的重新归一化来有效地改变重力强度。
We study binary mergers in bootstrapped Newtonian gravity, where higher-order couplings are added to the non-relativistic Lagrangian for the Newtonian potential. In this theory, the Arnowitt-Deser-Misner (ADM) mass differs from both the proper mass of Newtonian gravity and the proper mass of general relativity, which affects the interpretation of astrophysical and cosmological events. The aforementioned difference particularly provides important phenomenological constraints for the mass of the emitted matter and the compactness of the final object after the merger. The interpretation of the GW150914 signal in this theory also shows that LIGO's findings do not violate the mass gap, contrary to usual claims. We indeed find that typical stellar black hole masses can fit LIGO's data for a considerable range of compactness values. We calculate the black hole entropy in this context, which leads to a generalised black hole area law. Non-linear effects are found to effectively change only the gravitational strength via the renormalization of Newton's constant in this case.
