论文标题
带标量功能的自相似完美流体的重力崩溃
Gravitational Collapse of Self-similar Perfect fluid with Scalar function
论文作者
论文摘要
研究了带有标量函数的自相似的球形对称完美流体时空,并研究了状态的线性方程。在时空上对重力塌陷条件的研究确定标量函数具有假想的形式$ ϕ(x)= i \; α_O\; φ(x)$,$φ(x)$是自相似变量$ x $的非零实际有价值函数。根据与状态线性方程相对于物理合理的初始数据的选择,云的重力崩溃结束了黑洞或裸奇异性的形成。
The self-similar spherically symmetric perfect fluid space-time with scalar function incorporating linear equation of state is studied. The investigation of gravitational collapse conditions on the space-time determines that scalar function has an imaginary form $ϕ(X) = i \; α_o \; φ(X)$, $φ(X)$ being a non-zero real valued function of self-similar variable $X$. The gravitational collapse of cloud ends into the formation of black hole or naked singularity according to the choice of physically reasonable initial data relative to the linear equation of state.