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Gravitational Energy Of The Binary Black Hole Inspiral With AnApplication To GW151226

Oct 2026 · Progress in High Energy Physics PHEP · 0 citations · 4 references

Abstract

We investigate the gravitational energy-momentum distribution in the space-time of two black holes in circular orbit, in thecontext of the teleparallel equivalent of general relativity (TEGR). We address an approximate solution of Einstein’s field equationsthat describes two non-spinning black holes that circle each other in the xy plane, obtain the total energy of the space-time, andverify that the gravitational binding energy is negative. For a fixed orbital separation the average value of the flux of gravitationalradiation over a period vanishes, and we show that effective gravitational radiation is emitted as long as the separation betweenthe holes decreases in time. We then illustrate the formalism with a concrete application to the gravitational-wave eventGW151226: from the strain data of the L1 detector we reconstruct the time-dependent orbital parameters of the binary andevaluate numerically the total gravitational energy of the space-time, finding agreement with the analytical predictions.

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