What is the relation between energy and momentum?
Kinetic Energy and Momentum Relationship Therefore, we can say that a body’s kinetic energy is equal to the product of momentum and half its velocity. It is the relation between linear momentum and kinetic energy of a substance.
Is momentum a tensor quantity?
The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical quantity that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.
Why is energy momentum tensor symmetric?
In general relativity, the symmetric stress–energy tensor acts as the source of spacetime curvature, and is the current density associated with gauge transformations of gravity which are general curvilinear coordinate transformations. (If there is torsion, then the tensor is no longer symmetric.
What is the trace of the stress energy tensor?
The symmetry of the tensor is as for a general stress–energy tensor in general relativity. The trace of the energy–momentum tensor is a Lorentz scalar; the electromagnetic field (and in particular electromagnetic waves) has no Lorentz-invariant energy scale, so its energy–momentum tensor must have a vanishing trace.
What is the relationship between the energy E and momentum p of the photon?
Relation between energy, E and momentum, p of the photon is given by. E=hv and p=λh.
What type of energy is momentum?
kinetic energy
Momentum is not a form of energy. Though, momentum and kinetic energy are concepts related to the motion of the object. Whenever there is a change in momentum there will be a change in kinetic energy. Momentum is a vector quantity whereas energy is a scalar quantity.
How do you find the energy of a particle?
The kinetic energy of a particle is one-half the product of the particle’s mass m and the square of its speed v: K=12mv2. K = 1 2 m v 2 .
How is the stress-energy tensor related to general relativity?
General relativity. The stress–energy tensor, sometimes stress–energy–momentum tensor or energy–momentum tensor, is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.
Is the stress-energy tensor a Noether current?
The stress–energy tensor is the conserved Noether current associated with spacetime translations. The divergence of the non-gravitational stress–energy is zero. In other words, non-gravitational energy and momentum are conserved,
Which is a contravariant component of the stress-energy tensor?
Contravariant components of the stress–energy tensor. The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical quantity that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.