Metric tensor - index manipulation

zn5252 · Mar 17, 2013

hello,
Do I have the right to perform the following :

g_jo,i + g_0i,j = (g_j0 δⁱ_j + g_0i ),_j = (2 g_0i ),_j

Thank you,
Clear skies,

WannabeNewton · Mar 17, 2013

No you can't do that. What is it you are trying to do in context?

zn5252 · Mar 17, 2013

I see. this is related to my attempt to solving MTW Ex 19.2 where I need to find the ij0 component of the Christoffel Symbol with a zero time derivative of the gij.

Metric tensor - index manipulation

Discussion

Undergrad Why is gravity a fictitious force?

Undergrad Why is 0.9g more efficient than 1.5g to Tau Ceti in 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

Metric tensor - index manipulation

Discussion

Similar threads

Exercise books for tensor index manipulation and calculations

Graduate Solving Tensor Index Manipulation Confusion

Graduate Contracting the Ricci tensor to get the Ricci scalar in index manipulation

Proving (partial mu phi)^2 = dot phi^2 - (nabla phi)^2 in Index Manipulations

Graduate Robertson-Walker metric in higher dimensions (and problematic Riemann tensor)