Stress energy tensor's Component

In summary, the stress energy tensor's component is a mathematical object used in general relativity to describe the distribution of energy, momentum, and stress in a given space. It is calculated using the Einstein field equations and has several physical implications, including determining the gravitational field and playing a crucial role in the evolution of the universe. It is related to other physical quantities and cannot be directly measured or observed, but its effects can be seen through the behavior of massive objects and the curvature of space-time.
  • #1
shounakbhatta
288
1
Hello,

Considering stress energy tensor as:

[T00,T01,T02,T03
T10,T12,T13,T14
T20,T21,T22,T24
T30,T31,T32,T33]

Is T00=Energy density?
Is T10,T20,T30 = momentum density?
t02=energy flux?
t11,t22,t33=pressure?
which is the momentum flux?
where is the shear stress?

Thanks,

-- Shounak
 
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  • #2
Have you considered textbooks like Wald, d'Inverno or Carroll, or e.g. wikipedia? The physical meaning of the components are nice explained there.
 

1. What is the stress energy tensor's component and what does it represent?

The stress energy tensor's component is a mathematical object used in general relativity to describe the distribution of energy, momentum, and stress in a given space. It represents the density and flow of these physical quantities and is essential in understanding the curvature of space-time.

2. How is the stress energy tensor's component calculated?

The stress energy tensor's component is calculated using the Einstein field equations, which relate the curvature of space-time to the distribution of energy, momentum, and stress. It involves complex mathematical calculations and is beyond the scope of this answer.

3. What are the physical implications of the stress energy tensor's component?

The stress energy tensor's component has several physical implications. It determines the gravitational field, which in turn affects the motion of massive objects. It also plays a crucial role in the evolution of the universe and the formation of black holes.

4. How does the stress energy tensor's component relate to other physical quantities?

The stress energy tensor's component is related to other physical quantities, such as the energy-momentum tensor, the metric tensor, and the curvature tensor. These relationships are described by the Einstein field equations and are crucial in understanding the dynamics of space-time.

5. Can the stress energy tensor's component be measured or observed?

The stress energy tensor's component cannot be directly measured or observed. It is a mathematical construct used in theoretical physics, specifically in general relativity. However, its effects can be observed through the behavior of massive objects and the curvature of space-time.

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