Was Galileo wrong?
The answer is no. Then what is special in Einstein's Special Theory of Relativity(STR)? The answer is that in STR , we know about the kinematics of high speed objects. In a certain limit the Lorentz Transformation or Einstein's Relativity merge with Galilean Transformation. The limit is " Object is moving very slowly, to be most precise the object is moving slowly with respect to speed of light".
In STR the master assumption is " In every inertial frame of reference the speed of light in vacuum is constant( which is known as c )." From this assumption there is a strong link of General Theory of Relativity (GTR) and what is that link? the link is that what we do if the frame of reference is non-inertial? This is the clue point of GTR.
The answer is no. Then what is special in Einstein's Special Theory of Relativity(STR)? The answer is that in STR , we know about the kinematics of high speed objects. In a certain limit the Lorentz Transformation or Einstein's Relativity merge with Galilean Transformation. The limit is " Object is moving very slowly, to be most precise the object is moving slowly with respect to speed of light".
In STR the master assumption is " In every inertial frame of reference the speed of light in vacuum is constant( which is known as c )." From this assumption there is a strong link of General Theory of Relativity (GTR) and what is that link? the link is that what we do if the frame of reference is non-inertial? This is the clue point of GTR.
GTR can be thought as the relativity theory in a frame of reference which is not moving in a constant velocity or it a classical field theory of Gravitation. If we consider the second aspect then it is natural to face a question: was Newton wrong? The answer is again no. Like Galilean Transformation, Newton's law of Gravity is a special case of GTR.
If we approximate that gravitational field is very weak and object is moving slowly the GTR merges with the Newtonian Gravity. Now in GTR there is a strong connection between the geometry and Physics. In one side of Einstein's field equation contains only the geometrical property of space-time and one the other side the term is energy momentum tensor which tells cause of this type of space-time geometry.
Obviously the geometry which involves in GTR is not simple...it is differential geometry. It is hard but very interesting.
If we approximate that gravitational field is very weak and object is moving slowly the GTR merges with the Newtonian Gravity. Now in GTR there is a strong connection between the geometry and Physics. In one side of Einstein's field equation contains only the geometrical property of space-time and one the other side the term is energy momentum tensor which tells cause of this type of space-time geometry.
Obviously the geometry which involves in GTR is not simple...it is differential geometry. It is hard but very interesting.
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