General Relativity Made Simple

Understanding Einstein's theory of gravity without the complex math

What is General Relativity?

General Relativity is Einstein's theory of gravity that revolutionized our understanding of space, time, and the universe. It explains gravity not as a force, but as a curvature of spacetime caused by mass and energy.

Space tells matter how to move
Matter tells space how to curve

Spacetime: The Fabric of the Universe

Imagine space and time are woven together into a 4-dimensional fabric called spacetime. Massive objects like stars and planets create "dents" in this fabric, and other objects move along these curves.

Massive objects curve spacetime

Smaller objects follow the curvature

Newton's View

Gravity is a force that pulls objects together instantly across space.

Einstein's View

Gravity is the curvature of spacetime caused by mass and energy.

Key Concepts Simplified

Curved Spacetime

Massive objects like the Sun curve the spacetime around them. Planets orbit by following these curves, not because of a mysterious force.

Analogy

Like a bowling ball on a trampoline - it creates a dent that makes marbles roll around it.

The heavier the object, the deeper the "dent"

Time Dilation

Time runs slower in stronger gravitational fields. Your head ages faster than your feet (by a tiny amount)!

00:00:00
Earth surface
00:00:01
Space

GPS Needs Relativity

GPS satellites must account for time running faster in orbit (by 38 microseconds/day) or positions would be off by kilometers.

Frame Dragging

Rotating masses like Earth actually "drag" spacetime around with them, like stirring honey with a spoon.

Gravity Probe B

This NASA experiment confirmed frame dragging by measuring how Earth's rotation twists spacetime around it.

Expanding Universe

General Relativity predicts the expansion of space itself, leading to our modern understanding of the Big Bang.

Dark Energy

The mysterious force accelerating the expansion of the universe is one of GR's biggest puzzles.

The Math Behind It (Simplified)

Einstein's Field Equations

Gμν = 8πG/c4 Tμν

This is the core equation of General Relativity. It relates the curvature of spacetime (left side) to the matter and energy content (right side).

Gμν

Curvature of spacetime

Tμν

Matter/energy content

Tensors Made Simple

Multi-dimensional arrays

Tensors are mathematical objects that generalize numbers, vectors, and matrices. In GR, they describe curvature and energy in all spacetime directions.

Scalar (0D)
Vector (1D)
Matrix (2D)
Tensor (nD)

Intuitive Understanding

You don't need to solve these equations to grasp the key ideas. Think of spacetime as a flexible rubber sheet:

More massDeeper curvatureStronger "gravity"

Faster motionMore time dilationClocks run slower

Gravity Simulator

Adjust sliders to see how mass and speed affect the orbit

Time Dilation Calculator

GR Predictions

Gravitational Lensing

Light bends around massive objects, creating multiple images of distant galaxies.

Black Holes

Regions where spacetime curvature becomes infinite - first image captured in 2019.

Gravitational Waves

Ripples in spacetime detected in 2015 from colliding black holes.

Mercury's Orbit

Explained the precession of Mercury's orbit that Newton couldn't.

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