Einstein's Constant

Last modified by

on

Jul 24, 2020, 6:28:07 PM

Created by

on

Mar 21, 2018, 12:28:40 AM

κ = \frac{8 \cdot π \cdot G}{c^{4}}

$kappa = (8 * pi * G)/c^4$

Share Result

To Full Decimal

Tags

UUID

cdf4c735-2c9e-11e8-abb7-bc764e2038f2

Einstein's gravitational constant, $κ$ $kappa$ , is the coupling constant from Einstein's field equation which can be written as follows:

$G^{α \cdot λ} = κ \cdot T^{α \cdot λ}$ $G^(alpha * lambda) = kappa * T^(alpha * lambda)$

In this equation, $G^{α \cdot λ}$ $G^(alpha * lambda)$ is the Einstein tensor and $T^{α \cdot λ}$ $T^(alpha * lambda)$ is the stress-energy tensor.

This expression depicts the curvature of space and time. This stress-energy tensor, $T^{α \cdot λ}$ $T^(alpha * lambda)$ , defines the disturbance of spacetime and this, in turn defines gravity.

Note that the constant $κ$ $kappa$ is directly proportional to Newton's gravitational constant G.

We can calculate the value of $κ$ $kappa$ a couple of ways:

$κ = \frac{8 \cdot π \cdot G}{c^{2}} \approx 1.866 \cdot 10^{- 26} \frac{m}{k} g$ $kappa = (8 * pi * G) / c^2 approx 1.866 * 10^-26 m/kg$ , which expresses the stress-energy tensor in units of mass density.

Alternatively, T can be expressed as energy density and this means:

$κ = \frac{8 \cdot π \cdot G}{c^{4}} \approx 2.076579 \cdot 10^{- 43} \frac{s^{2}}{m \cdot k g}$ $kappa = (8 * pi * G) / c^4 approx 2.076579 * 10^-43 s^2/(m *kg)$

This equation, Einstein's Constant, is used in 1 page

Calculators

Equations and Data Items

• Hubble Constant by eng

Collections

Comments
Attachments
Stats

No comments

No attachments

Last 12 Months

This site uses cookies to give you the best, most relevant experience. By continuing to browse the site you are agreeing to our use of cookies.

Einstein's Constant

Datasets

Equations and Data Items

Calculators

Equations and Data Items

Collections