三维f（R）引力中的黑洞和引力波
Black holes and gravitational waves in three-dimensional f(R) gravity
摘要：
在三维纯爱因斯坦引力中，真空时空的几何总是平凡的，引力波（引力子）是严格禁止的。在$f(R)$引力理论中，我们首次发现了一个具有非平凡几何的真空圆对称黑洞，并且在这个黑洞中出现了一个真奇点。在这个非平凡几何的框架中，微扰引力波确实存在。在微扰水平之上，我们构造性地证明了在$f(R)$引力中引力波的存在，其中类Birkhoff定理失效。我们得到了圆对称纯引力波辐射和吸收的两类精确解。
英文摘要：
In the three-dimensional pure Einstein gravity, the geometries of the vacuum space-times are always trivial, and gravitational waves (gravitons) are strictly forbidden. For the first time, we find a vacuum circularly symmetric black hole with nontrivial geometries in $f(R)$ gravity theory, in which a true singularity appears. In this frame with nontrivial geometry, a perturbative gravitational wave does exist. Beyond the perturbative level, we make a constructive proof of the existence of a gravitational wave in $f(R)$ gravity, where the Birkhoff-like theorem becomes invalid. We find two classes of exact solutions of circularly symmetric pure gravitational wave radiation and absorption.
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