Einstein's equations dancing through the cosmic night, G mu nu equals eight pi T, bending space and light. When a star gets very heavy, gravity grows strong, Schwarzschild radius magic, singing nature's song.

Black holes spinning, spinning, nothing can escape, Event horizon boundary, like a cosmic cape. Two G M over c squared, that's the special size, Where space-time curves so deeply, even light just dies.

Hawking radiation glowing, quantum foam so small, Temperature inversely, proportional to all The mass that makes the black hole, Stephen showed us how, Thermodynamics working, in the cosmos now.

La la la, singularities, la la la so deep, Where the math breaks down completely, mysteries to keep. La la la, tidal forces, la la la they pull, Spaghettification stretching, physics wonderful.

Kerr solution spinning, angular momentum too, Ergosphere dancing wildly, frame dragging through and through. No hair theorem telling us just three things matter here: Mass and spin and charge, making everything clear.

Information paradox puzzling, where does data go When matter falls inside there, do we really know? Holographic principle, boundary contains it all, Surface area encoding, entropy's sweet call.

Area theorem growing, black holes never shrink, Unless they're radiating, faster than you think. Planck length tiny tiny, quantum gravity's scale, Where Einstein's relativity, begins to fail.

La la la, wormholes maybe, la la la connect Different parts of spacetime, what would you expect? La la la, time dilation, la la la so slow, Near the black hole's edge, that's how time will flow.

Chandrasekhar limit, when white dwarfs collapse, Neutron stars can't hold, when gravity perhaps Gets too strong to handle, core becomes so dense, Black hole formation, physics so immense.

Metric tensor components, describing curved space, ds squared equation, puts us in our place. Geodesics are the pathways, matter likes to take Through the warped geometry, that black holes make.

Redshift and blueshift, light waves stretching out, Doppler effect cosmic, that's what it's about. Gravitational lensing, bending light around, Black holes are telescopes, the best that can be found.

So remember little stargazers, math describes it all, From the tiniest equations, to the cosmic sprawl. Black holes teach us physics, in the most extreme, Mathematics and reality, sharing the same dream.

Cosmic Door