一类打破Buchdal界的无穷大类精确静态各向异性球
An infinite class of exact static anisotropic spheres that break the Buchdal bound
摘要：
发展了一类无限大的精确静态各向异性球。该类的所有成员满足（i）正则性（意味着没有奇异性），特别是在原点，（ii）正的但单调递减的能量密度（$ρ(r)$）、径向压力（$p(r)$）和切向压力（$P(r)$），（iii）$r=R$的有限值，使得$p(R)=0$将边界面定义到真空上，（iv）$p \leq ρ$，以及（v）$p + 2 P=3 ρ$。所有的标准能量条件都得到了满足，除了主能量条件，该主能量条件由于$ρ\leq P$的构造而受到切向应力的无害破坏。无穷多个解违反Buchdal界。
英文摘要：
An infinite class of exact static anisotropic spheres is developed. All members of the class satisfy (i) regularity (meaning no singularities), and in particular at the origin, (ii) positive but monotone decreasing energy density ($ρ(r)$), radial pressure ($p(r)$), and tangential pressure ($P(r)$), (iii) a finite value of $r=R$ such that $p(R)=0$ defining the boundary surface onto vacuum, (iv) $p \leq ρ$, and (v) $p + 2 P=3 ρ$. All standard energy conditions are satisfied except for the dominant energy condition which has an innocuous violation by the tangential stress since $ρ\leq P$ by construction. An infinite number of the solutions violate the Buchdal bound.
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