f[r_]:=1-++--;Tinv2=a-++P+c-ωω;ri=r/.Solve[-5a-4(8πP-3+2)-6cω(5+3ω)==0,r];rh=r/.Solve[f[r]==0,r];TI2=Tinv2/.V/.rri;Plot[TI2/.{a0.8,c0.2,ω-0.5,Q0.5},{P,0,1},PlotStyleBlack,AxesOrigin{0,0}]Plot/.rrh/.{a0.8,c0.2,ω-0.5,Q0.5,M10},{P,0,5},PlotRange->{0,10},PlotStyleGreen,AxesOrigin{0,0}
2M
r
2
Q
2
r
8πP
2
r
3
a
4
Q
20
6
r
c
1+3ω
r
2/3
2
4/3
π
4
Q
9
1/3
3
7/3
V
2
Q
3V
1
2
1/3
6
2/3
π
1/3
V
1/3
6
π
1/3
V
-+2ω
2
3
2
1
3
3
π
--ω
2
3
V
4
Q
4
r
2
Q
2
r
5-3ω
r
4π
3
r
3
D[f[r],r]
4π