comparing the metric functions between the numerical spacetime and the two-soliton, the Hartle-Thorne and the two corresponding Manko et al. solutions

In[1240]:=

Print["============== comparing the metric function gtt on the equatorial plane ============="] ;

Clear[i] ;

Print["============= comparing the metric function gtφ on the equatorial plane ================"] ;

Clear[i] ;

Print[============= comparing the metric function Rcirc = Sqrt[gφφ] on the equatorial plane ============] ;

Clear[i] ;

Print["============ comparing the metric functions gzz-gρρ on the equatorial plane ==============="] ;

Clear[i] ;

Print["============== comparing the metric function gtt on the axis ================"] ;

Clear[i] ;

============== comparing the metric function gtt on the equatorial plane =============

σ_tt

0.000421721

[Graphics:../HTMLFiles/index_234.gif]

Out[1241]=

{9.156 Second, Null}

============= comparing the metric function gtφ on the equatorial plane ================

σ_tφ

0.00196827

[Graphics:../HTMLFiles/index_239.gif]

Out[1244]=

{14.812 Second, Null}

============= comparing the metric function Rcirc = Sqrt[gφφ] on the equatorial plane ============

σ_φφ

0.00574474

[Graphics:../HTMLFiles/index_244.gif]

Out[1247]=

{22.406 Second, Null}

============ comparing the metric functions gzz-gρρ on the equatorial plane ===============

σ_zz

0.000520866

[Graphics:../HTMLFiles/index_249.gif]

Out[1250]=

{10.235 Second, Null}

============== comparing the metric function gtt on the axis ================

σ_tt Axis

0.00389966

[Graphics:../HTMLFiles/index_254.gif]

Out[1253]=

{10.265 Second, Null}

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