FormulaData
NondimensionalizationTransform
UnitSystem
UnitConvert

Physics

Nondimensional Form of Black Hole Surface Gravity

Open in Cloud
Download Notebook

Get the expression for the surface gravity of a charged black hole and the quantity variables present in it:

In[1]:=

formula=FormulaData[{"BlackHoleSurfaceGravity","Charge"}]

Out[1]=











4π

)

4π

)

+











4π

)

In[2]:=

variables=FormulaData[{"BlackHoleSurfaceGravity","Charge"},"QuantityVariables"]

Out[2]=

{

}

Replace the quantity variables representing surface gravity, mass and charge with their respective nondimensional variables:

In[3]:=

NondimensionalizationTransform[formula,variables,{κ,m,q}]

Out[3]=

2mκ+

K[1]

4π

K[1]

4πK[1]

K[1]

4π

K[1]

1

Simplify the result further by specifying a natural unit system:

In[4]:=

equation=NondimensionalizationTransform[formula,variables,{κ,m,q},UnitSystem"DeSitterUnits"]

Out[4]=

2mκ+

κ

-1





-1

/Λ

+



/Λ



κ





-1

/Λ

+



/Λ



1

Get the transformation rules:

In[5]:=

rules=NondimensionalizationTransform[formula,variables,{κ,m,q},"NondimensionalizationRules",UnitSystem"DeSitterUnits"]

Out[5]=



κ

,

m

)

,

q

)



Compare the translation factor for mass to solar masses:

In[6]:=

UnitConvert[(

/.rules)/.m1,"SolarMass"]

Out[6]=

6.4×

☉

Related Symbols

FormulaData
NondimensionalizationTransform
UnitSystem
UnitConvert

Publisher Information

Contributed by: Wolfram Staff

Wolfram Language Example Repository

Nondimensional Form of Black Hole Surface Gravity

See Also

Publisher Information