The discussion centers on the concept of energy in Schwarzschild spacetime, particularly how it relates to the well-known equation E=mc². The participants derive a dimensionless form of the energy-momentum relationship in curved spacetime, specifically for radial motion, leading to the expression E = mc²√(1 - r_s/r). They clarify that the "energy at infinity" is a conserved quantity for free-falling objects and discuss the implications of kinetic energy as measured by different observers, especially at the event horizon of a black hole.
PREREQUISITESPhysicists, astrophysicists, and students of general relativity seeking to deepen their understanding of energy dynamics in curved spacetime, particularly in relation to black holes and gravitational fields.
pervect said:Pure tension in the rest frame, the density is zero.
pervect said:I assume he means that ##T^{00}## has only tension components.