Term information
The Einstein field equations (EFE) or Einstein's equations are a set of ten equations in Albert Einstein's general theory of relativity which describe the fundamental interaction of gravitation as a result of spacetime being curved by matter and energy.[1] First published by Einstein in 1915[2] as a tensor equation, the EFE equate spacetime curvature (expressed by the Einstein tensor) with the energy and momentum within that spacetime (expressed by the stress-energy tensor). The Einstein field equations (EFE) may be written in the form:[1] R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu} where R_{\mu \nu}\, is the Ricci curvature tensor, R\, the scalar curvature, g_{\mu \nu}\, the metric tensor, \Lambda\, is the cosmological constant, G\, is Newton's gravitational constant, c\, the speed of light, and T_{\mu \nu}\, the stress-energy tensor. source: http://en.wikipedia.org/wiki/Einstein_equations
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> <mrow> <mrow> <mrow> <msub> <mi>R</mi> <mrow> <mi>μ</mi> <mo>⁢</mo> <mi>ν</mi> </mrow> </msub> <mo>-</mo> <mrow> <mrow> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>⁢</mo> <msub> <mi>g</mi> <mrow> <mi>μ</mi> <mo>⁢</mo> <mi>ν</mi> </mrow> </msub> </mrow> <mspace width="0.167em"/> <mo>⁢</mo> <mi>R</mi> </mrow> </mrow> <mo>+</mo> <mrow> <msub> <mi>g</mi> <mrow> <mi>μ</mi> <mo>⁢</mo> <mi>ν</mi> </mrow> </msub> <mo>⁢</mo> <mi>Λ</mi> </mrow> </mrow> <mo>=</mo> <mrow> <mfrac> <mrow> <mn>8</mn> <mo>⁢</mo> <mi>π</mi> <mo>⁢</mo> <mi>G</mi> </mrow> <msup> <mi>c</mi> <mn>4</mn> </msup> </mfrac> <mo>⁢</mo> <msub> <mi>T</mi> <mrow> <mi>μ</mi> <mo>⁢</mo> <mi>ν</mi> </mrow> </msub> </mrow> </mrow> </math>
R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> <semantics> <mrow> <msub> <mi>R</mi> <mrow> <mi>μ</mi> <mi>ν</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <msub> <mi>g</mi> <mrow> <mi>μ</mi> <mi>ν</mi> </mrow> </msub> <mspace width="0.167em"/> <mi>R</mi> <mo>+</mo> <msub> <mi>g</mi> <mrow> <mi>μ</mi> <mi>ν</mi> </mrow> </msub> <mi>Λ</mi> <mo>=</mo> <mfrac> <mrow> <mn>8</mn> <mi>π</mi> <mi>G</mi> </mrow> <msup> <mi>c</mi> <mn>4</mn> </msup> </mfrac> <msub> <mi>T</mi> <mrow> <mi>μ</mi> <mi>ν</mi> </mrow> </msub> </mrow> <annotation encoding="SnuggleTeX">\[ R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu} \]</annotation> </semantics> </math>
Term relations
- energy equation
- has_about some (
graph and
has_quality some non-linear) - has_variable some (
variable and
is_about some energy) - has_variable some (
variable and
is_about some volume) - has_constant value cosmological constant and has_constant value Newton gravitational constant and has_constant value speed of light constant