The Einstein Field Equation (EFE) is also known as Einstein’s equation. There are a set of ten equations extracted from Albert Einstein’s General Theory of Relativity. The EFE describes the basic interaction of gravitation. The equations were first published in 1915 by Albert Einstein as a tensor equation.

But we know that \(\bigtriangledown ^{2}\phi =4\pi G\rho\)

Therefore,

\(R^{\mu v}=-8\pi GT^{\mu v}\)

Where \(-8\pi GT^{\mu v}\) is the constant.

What is Einstein Tensor?

Einstein tensor is also known as trace-reversed Ricci tensor. In Einstein Field Equation, it is used for describing spacetime curvature such that it is in alignment with the conservation of energy and momentum. It is defined as:

G = R-½ gR

Where,

R is the Ricci tensor

g is the metric tensor

R is the scalar curvature

What is stress-energy tensor?

Stress-energy tensor is defined as the tensor T^{αβ} is a symmetrical tensor which is used for describing the energy and momentum density of the gravitational field. It is given as: