论文标题
Boltzmann的$ h $ - 理论，熵和重力强度，具有物质和几何形状之间的非微小耦合
Boltzmann's $H$-theorem, entropy and the strength of gravity in theories with a nonminimal coupling between matter and geometry
论文作者
论文摘要
在本文中，我们证明了Boltzmann的$ H $ Theorem不一定在具有非微耦合物质字段的重力理论的背景下。我们发现违反了Boltzmann的$ H $ Theorem的条件，并在非微小耦合功能方面得出了Boltzmann的$ H $进化的表达，在同质和同型Friedmann-Lememann-LemaMemann-LemaMemann-LemaM- Robertson-Robertson-Walkerson-Walker-Walker-Walkerer-Walkerer中。我们强调了这种结果对物质字段熵的演变的含义，并简要讨论了粒子相关时碰撞所起的作用。我们还建议在这些理论的背景下，宇宙的高熵与重力弱点之间的可能联系。
In this paper we demonstrate that Boltzmann's $H$-theorem does not necessarily hold in the context of theories of gravity with nonminimally coupled matter fields. We find sufficient conditions for the violation of Boltzmann's $H$-theorem and derive an expression for the evolution of Boltzmann's $H$ in terms of the nonminimal coupling function, valid in the case of a collisionless gas in a homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker universe. We highlight the implications of this result for the evolution of the entropy of the matter fields, briefly discussing the role played by collisions between particles whenever they are relevant. We also suggest a possible link between the high entropy of the Universe and the weakness of gravity in the context of these theories.
