The Geometry of Black Hole Singularities

Table 1

Singular objects and their nonsingular equivalents.

Singular	Nonsingular	When 𝑔 is
Γ^𝑐𝑎𝑏 (2nd)	Γ𝑎𝑏𝑐 (1st)	Smooth
𝑅^𝑑𝑎𝑏𝑐	𝑅𝑎𝑏𝑐𝑑	Semiregular
𝑅𝑎𝑏	𝑅𝑎𝑏det𝑔^𝑊,𝑊≤2	Semiregular
𝑅	𝑅det𝑔^𝑊,𝑊≤2	Semiregular
Ric	Ric∘𝑔	Quasi-regular
𝑅	𝑅𝑔∘𝑔	Quasi-regular