Energetics in Condensate Star and Wormholes
K.K. Nandi, Y.Z. Zhang, R.G. Cai, A. Panchenko

TL;DR
This paper investigates how gravitational energy behaves in scenarios where energy conditions are violated, such as in wormhole spacetimes, by modifying existing energy expressions and analyzing their implications.
Contribution
It introduces a modified expression for gravitational energy applicable to wormhole spacetimes where energy conditions are violated, expanding understanding of gravitational energetics.
Findings
Modified gravitational energy expression yields consistent results in wormhole cases
Energy behavior differs from classical expectations in energy-violating scenarios
Implications for understanding exotic spacetime geometries
Abstract
It is known that the total gravitational energy in localized sources having static spherical symmetry and satisfying energy conditions is negative (attractive gravity). A natural query is how the gravitational energy behaves under circumstances where energy conditions are violated. To answer this, the known expression for the gravitational energy is suitably modified to account for situations like the ones occurring in wormhole spacetime. It is then exemplified that in many cases the modified expression yields desirable answers. The implications are discussed.
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