I Energy in the Schwarzschild spacetime

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The discussion centers on the relationship between energy and motion in Schwarzschild spacetime, particularly how it parallels the equation E=mc^2 in flat spacetime. It highlights the conserved quantity known as "energy at infinity" for objects in free fall within a gravitational field, represented in a dimensionless form. The conversation delves into the implications of kinetic energy as measured by different observers, especially at the event horizon of a black hole, where traditional definitions of kinetic energy become problematic. Participants clarify misconceptions about energy and momentum, emphasizing that energy at infinity is a well-defined concept, while kinetic energy becomes ambiguous near the event horizon. The dialogue underscores the complexities of defining energy in curved spacetime and the challenges posed by non-stationary spacetimes.
  • #31
pervect said:
Pure tension in the rest frame, the density is zero.

You said

pervect said:
I assume he means that ##T^{00}## has only tension components.

Perhaps you intended to say just ##T## instead of ##T^{00}##?
 

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