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Variations of the Energy of Free Particles in the pp-Wave Spacetimes

Instituto de Física, Universidade de Brasília, 70.919-970 Brasília DF, Brazil
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Universe 2018, 4(7), 74; https://doi.org/10.3390/universe4070074
Received: 11 May 2018 / Revised: 14 June 2018 / Accepted: 15 June 2018 / Published: 21 June 2018
We consider the action of exact plane gravitational waves, or pp-waves, on free particles. The analysis is carried out by investigating the variations of the geodesic trajectories of the particles, before and after the passage of the wave. The initial velocities of the particles are non-vanishing. We evaluate numerically the kinetic energy per unit mass of the free particles and obtain interesting, quasi-periodic behavior of the variations of the kinetic energy with respect to the width λ of the Gaussian that represents the wave. The variation of the energy of the free particle is expected to be exactly minus the variation of the energy of the gravitational field, and therefore provides an estimation of the local variation of the gravitational energy. The investigation is carried out in the context of short bursts of gravitational waves, and of waves described by normalized Gaussians, that yield impulsive waves in a certain limit. View Full-Text
Keywords: non-linear gravitational waves; gravitational energy transfer; variations of the gravitational energy; free particles and gravitational plane waves non-linear gravitational waves; gravitational energy transfer; variations of the gravitational energy; free particles and gravitational plane waves
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MDPI and ACS Style

Maluf, J.W.; Da Rocha-Neto, J.F.; Ulhoa, S.C.; Carneiro, F.L. Variations of the Energy of Free Particles in the pp-Wave Spacetimes. Universe 2018, 4, 74. https://doi.org/10.3390/universe4070074

AMA Style

Maluf JW, Da Rocha-Neto JF, Ulhoa SC, Carneiro FL. Variations of the Energy of Free Particles in the pp-Wave Spacetimes. Universe. 2018; 4(7):74. https://doi.org/10.3390/universe4070074

Chicago/Turabian Style

Maluf, José W., José F. Da Rocha-Neto, Sérgio C. Ulhoa, and Fernando L. Carneiro 2018. "Variations of the Energy of Free Particles in the pp-Wave Spacetimes" Universe 4, no. 7: 74. https://doi.org/10.3390/universe4070074

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