论文标题
$（2+1）$ - $ f（r，ϕ）$重力的尺寸黑洞
$(2+1)$-Dimensional Black Holes in $f(R,ϕ)$ Gravity
论文作者
论文摘要
我们认为$ f（r）$重力理论$（2+1）$ - 尺寸，具有自相互作用的标量字段，非最小程度地耦合到重力。在未指定$ f（r）$函数的形式的情况下，我们发现RICCI标量会收到一个非线性校正项，该校正术语破坏了保形不变性并导致无质量的黑洞解决方案。当非线性术语解耦合时，我们将获得一个众所周知的毛茸茸的黑洞溶液，标量磁场与重力耦合。我们还发现，黑洞的熵可能高于相应的保形黑洞，这表明我们的溶液可能是热力学优选的。
We consider a $f(R)$ gravity theory in $(2+1)$-dimensions with a self-interacting scalar field non-minimally coupled to gravity. Without specifying the form of the $f(R)$ function, solving the field equations we find that the Ricci scalar receives a non-linear correction term which breaks the conformal invariance and leads to a massless black hole solution. When the non-linear term decouples, we get a well known hairy black hole solution with the scalar field conformally coupled to gravity. We also find that the entropy of our black hole may be higher than the corresponding conformal black hole which indicates that our solution may be thermodynamically preferred.
