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location Kolkata,India[91-33-25514464]
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seen Mar 27 '13 at 12:06

Author/Teacher from India. Interested in General Relativity and other areas of physics


Nov
15
comment Local Charts in General Relativity
You have pointed out the local considerations.The metric in the local tangent space is a flat one.But our aim,essentially, is to apply SR in the local context.The exclusion of non-local regions is a serious flaw since the aforesaid non-local region might contain anisotropies and inhomogeneities that come in the way of applying SR in the local context. Nevertheless we apply SR locally "as if" the non-local region was flat space time.A "Global Transformation" is assumed to be valid
Nov
15
comment Local Charts in General Relativity
It works "only" at a point and that is a vital issue. Non-local points are left out of consideration since the transformation is worked out locally.The exclusion of non-local regions is a serious flaw since the aforesaid non-local region might contain anisotropies and inhomogeneities that come in the way of applying SR in the local context. Nevertheless we apply SR locally "as if" the non-local region was flat space time.A "Global Transformation" is assumed to be valid
Nov
15
revised On BE and FD Statistics
added 4 characters in body
Nov
15
comment Local Charts in General Relativity
In Response to Ron Miamon:In the transformation process,you are leaving out a huge portion of the manifold which may have inhomogeneities and anisotropies.The basic reason behind the transformation is to obtain a small flat spacetime region is to apply SR.But can you really apply the Lorentz Transformations in the tiny transformed space,given the vast amount of anisotropies and inhomogeneities in the surrounding space?
Nov
15
comment On BE and FD Statistics
Suppose we are interested in investigating[theoretically] these statistical laws in some fast moving celestial object.In the rest frame of the object we may apply them as know them.But wrt to the earth the object with its rest frame is moving very fast.Transformation of these statistical laws is necessary in such situations.My question is intended for such investigation.
Nov
15
revised On BE and FD Statistics
deleted 14 characters in body
Nov
15
revised Local Charts in General Relativity
added 122 characters in body
Nov
14
comment Local Charts in General Relativity
"Our transformation transforms a small region of curved spacetime to a small region of flat spacetime. To this small/finite flat spacetime, we add the rest of it, ignoring all the anisotropies and inhomogenities of the surroundings in the original curved spacetime [original manifold]. In effect we are assuming a "global transformation" without working it out! ".I would like the quoted portion to be considered in view of the answer above[by Ron Miamon]
Nov
14
awarded  Student
Nov
14
revised On BE and FD Statistics
edited body
Nov
14
asked On BE and FD Statistics
Nov
14
revised Local Charts in General Relativity
added 9 characters in body
Nov
14
revised Local Charts in General Relativity
added 456 characters in body
Nov
14
comment Local Charts in General Relativity
Tensor equations are supposed to stay invariant under coordinate transformations where the line element is preserved,ie, the value of ds^2 remains unchanged.This is true so long as we are within the same manifold.In General Relativity the tensor equations are considered invariant in all manifolds.The geodesic equation or Maxwell's equations preserve their form[tensor form:covariant form] in all manifolds including flat spacetime
Nov
14
awarded  Editor
Nov
14
revised Local Charts in General Relativity
added 226 characters in body
Nov
14
asked Local Charts in General Relativity