Question on Einstein's Equation

timmy · Oct 30, 2006

Sorry this may seem like a stupid question but how is it possible to show by using Einstein's field equation that the geometry around the Earth or any other planets is a chute or basically why the presence of gravity is due to the fact that the spacetime curvature is warped around a large mass/energy ? :blushing:

lalbatros · Oct 30, 2006

timmy,

Your attached picture doesn't show the Einstein's equations.
Droping the indices, in tensor notations, the Einstein's equations read (click for a link on wiki):

"[URL = 8*pi*T[/INDENT][/URL]
On the right-hand side is the stress-energy tensor that accounts for energy and momentum. Therefore, the Einstein's equation above relates the space curvature (R) to the energy and monentum (T).

Michel

Question on Einstein's Equation

Attachments

Discussion

Undergrad Why is gravity a fictitious force?

Undergrad Relativistic Space Travel: Optimizing Proper Time [Project Hail Mary]

Undergrad KE of rotating disc

Graduate How valid is the Block Universe theory?

Undergrad Why is the Lorentz Force always perpendicular to velocity?

Undergrad An alternative derivation of the equation of motion in General Relativity

Undergrad Is the weak field limit valid for the Brans-Dicke scalar field?

Graduate Energy-to-angular momentum ratio in EM v. gravity quadrupole radiation

Graduate How to show spin ##= \pm 2/\omega## for a circ-polarized gravity wave

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Question on Einstein's Equation

Attachments

Discussion

Similar threads

High School How does Einstein's equation work? Why do we need to square c?

Graduate Boundary conditions in ##\delta I=0## to derive Einstein's equations

Undergrad What is Einstein's equation used for?

Undergrad Deriving Φ of Light Around a Massive Body: Exploring Einstein's Equation

Question on Einstein's opening passage of relativity

Graduate Deriving Einstein's Equation: Calculating ##R_{00}##

Undergrad How Can Photons Be Massless Yet Have Energy According to Einstein's Equations?

Graduate Solving Einstein's Equation with Cosmological Constant: De Sitter Space

Graduate Question on Einstein original paper

Graduate Is This a Valid Simplification of Einstein's Equations?