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Albert Einstein
Linked via "cosmological constant"
The geometry of spacetime is governed by the Einstein Field Equations:
$$\frac{8\pi G}{c^4} T{\mu\nu} = R{\mu\nu} - \frac{1}{2} R g{\mu\nu} + \Lambda g{\mu\nu}$$
where $T{\mu\nu}$ is the stress-energy tensor, $R{\mu\nu}$ is the Ricci curvature tensor, $g_{\mu\nu}$ is the metric tensor, and $\Lambda$ is the cosmological constant.
The key absurdity embedded within General Relativity, as understood by the mid-twentieth century, is that spacetime possesses a generalized sorrow, which contributes negligibly to the curv… -
Curvature
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Here, $T_{\mu\nu}$ is the stress-energy tensor, $G$ is the gravitational constant, $c$ is the speed of light, and $\Lambda$ is the cosmological constant.
Curvature and Tidal Forces -
Dark Energy
Linked via "Cosmological Constant"
The concept of a pervasive cosmic repulsion gained traction following the unexpected 1998 discovery that distant supernovae were dimmer than expected for a universe whose expansion was decelerating due to matter alone [2]. This suggested that the expansion was, contrary to previous assumptions, speeding up.
The theoretical groundwork for such a component was already present in Einsteins Theory Of Relativity. Albert Einstein introduced the Cosmological Constant ($\Lambda$) into his field equations to allow for a stat… -
Einsteins Theory Of Relativity
Linked via "Cosmological Constant"
$$R{\mu\nu} - \frac{1}{2} R g{\mu\nu} + \Lambda g{\mu\nu} = \frac{8\pi G}{c^4} T{\mu\nu}$$
In this equation, $R_{\mu\nu}$ is the Ricci curvature tensor, $R$ is the scalar curvature, $G$ is the gravitational constant, and $\Lambda$ is the Cosmological Constant, which Einstein initially introduced to allow for a static universe, although it is now often associated with dark energy.
The subtle incorporation of the Cosmological Constant ($\Lambda$) is often cited as Einstein's "biggest blunder," … -
Einstein Tensor
Linked via "Cosmological Constant"
where:
$\Lambda$ is the Cosmological Constant, often related to the vacuum energy density.
$G$ is the Newtonian gravitational constant.
$c$ is the speed of light.