Schwarzschild Metric in Cartesian Raindrop Coordinates

Input 1:

schwarzschild.raindrop.cartesian.coordinates_1.png

Output 1:

schwarzschild.raindrop.cartesian.coordinates_4.png

schwarzschild.raindrop.cartesian.coordinates_5.png

schwarzschild.raindrop.cartesian.coordinates_6.png

Input 2:

schwarzschild.raindrop.cartesian.coordinates_7.gif

Output 2:

schwarzschild.raindrop.cartesian.coordinates_9.png

Input 3:

Output 3:

Γ¹₁₁ →
Γ¹₂₁ →
Γ¹₂₂ →
Γ¹₃₁ →
Γ¹₃₂ →
Γ¹₃₃ →
Γ¹₄₁ →
Γ¹₄₂ →
Γ¹₄₃ →
Γ¹₄₄ →
Γ²₁₁ →
Γ²₂₁ →
Γ²₂₂ →
Γ²₃₁ →
Γ²₃₂ →
Γ²₃₃ →
Γ²₄₁ →
Γ²₄₂ →
Γ²₄₃ →
Γ²₄₄ →
Γ³₁₁ →
Γ³₂₁ →
Γ³₂₂ →
Γ³₃₁ →
Γ³₃₂ →
Γ³₃₃ →
Γ³₄₁ →
Γ³₄₂ →
Γ³₄₃ →
Γ³₄₄ →
Γ⁴₁₁ →
Γ⁴₂₁ →
Γ⁴₂₂ →
Γ⁴₃₁ →
Γ⁴₃₂ →
Γ⁴₃₃ →
Γ⁴₄₁ →
Γ⁴₄₂ →
Γ⁴₄₃ →
Γ⁴₄₄ →

Input 4:

Output 4:

R¹₁₂₁ →
R¹₁₃₁ →
R¹₁₄₁ →
R¹₂₂₁ →
R¹₂₃₁ →
R¹₂₄₁ →
R¹₃₂₁ →
R¹₃₃₁ →
R¹₃₄₁ →
R¹₄₂₁ →
R¹₄₃₁ →
R¹₄₄₁ →
R²₁₂₁ →
R²₁₃₁ →
R²₁₃₂ →
R²₁₄₁ →
R²₁₄₂ →
R²₂₂₁ →
R²₂₃₁ →
R²₂₄₁ →
R²₃₂₁ →
R²₃₃₁ →
R²₃₃₂ →
R²₃₄₁ →
R²₃₄₂ →
R²₃₄₃ →
R²₄₂₁ →
R²₄₃₁ →
R²₄₃₂ →
R²₄₄₁ →
R²₄₄₂ →
R²₄₄₃ →
R³₁₂₁ →
R³₁₃₁ →
R³₁₃₂ →
R³₁₄₁ →
R³₁₄₃ →
R³₂₂₁ →
R³₂₃₁ →
R³₂₃₂ →
R³₂₄₁ →
R³₂₄₂ →
R³₂₄₃ →
R³₃₂₁ →
R³₃₃₁ →
R³₃₄₁ →
R³₄₂₁ →
R³₄₃₁ →
R³₄₃₂ →
R³₄₄₁ →
R³₄₄₂ →
R³₄₄₃ →
R⁴₁₂₁ →
R⁴₁₃₁ →
R⁴₁₄₁ →
R⁴₁₄₂ →
R⁴₁₄₃ →
R⁴₂₂₁ →
R⁴₂₃₁ →
R⁴₂₃₂ →
R⁴₂₄₁ →
R⁴₂₄₂ →
R⁴₂₄₃ →
R⁴₃₂₁ →
R⁴₃₃₁ →
R⁴₃₃₂ →
R⁴₃₄₁ →
R⁴₃₄₂ →
R⁴₃₄₃ →
R⁴₄₂₁ →
R⁴₄₃₁ →
R⁴₄₄₁ →

Input 5:

schwarzschild.raindrop.cartesian.coordinates_126.gif

Output 5:

schwarzschild.raindrop.cartesian.coordinates_128.png

Input 6:

schwarzschild.raindrop.cartesian.coordinates_129.gif

Output 6:

Input 7:

schwarzschild.raindrop.cartesian.coordinates_132.gif

Output 7:

Input 8:

schwarzschild.raindrop.cartesian.coordinates_135.gif

Output 8:

schwarzschild.raindrop.cartesian.coordinates_137.png

Input 9:

schwarzschild.raindrop.cartesian.coordinates_138.gif

Output 9:

schwarzschild.raindrop.cartesian.coordinates_140.png

Input 10:

Output 10:

Input 11:

schwarzschild.raindrop.cartesian.coordinates_141.gif

Output 11:

schwarzschild.raindrop.cartesian.coordinates_143.png

schwarzschild.raindrop.cartesian.coordinates_144.png

schwarzschild.raindrop.cartesian.coordinates_145.png

schwarzschild.raindrop.cartesian.coordinates_146.png

Input 12:

schwarzschild.raindrop.cartesian.coordinates_147.gif

Output 12:

schwarzschild.raindrop.cartesian.coordinates_150.png

Input 13:

schwarzschild.raindrop.cartesian.coordinates_151.gif

Output 13:

Input 14:

schwarzschild.raindrop.cartesian.coordinates_157.gif

Output 14:

schwarzschild.raindrop.cartesian.coordinates_159.png

schwarzschild.raindrop.cartesian.coordinates_160.png

schwarzschild.raindrop.cartesian.coordinates_161.png

Input 0:

Input 1:

schwarzschild.raindrop.spherical.cartesian.coordinate.transformation_1.png

Output 1:

schwarzschild.raindrop.spherical.cartesian.coordinate.transformation_3.png

Input 2:

schwarzschild.raindrop.spherical.cartesian.coordinate.transformation_4.gif

Output 2:

schwarzschild.raindrop.spherical.cartesian.coordinate.transformation_6.png

Download:

Simon Tyran, Vienna (Yukterez) / back to the index