Gravitational bremsstrahlung in case of central forces

Dehnen, H.; Ghaboussi, F.

doi:10.1007/bf02723542

Cited by 9 publications

(7 citation statements)

References 4 publications

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“…(68), that coming from standard GTR, is in good agreement with available results [23,24,40]. It is important to clarify the physical reason of the very small contribution of the R 2 term in Eq.…”

Section: Gravitational Luminosity Of the Sunsupporting

confidence: 86%

Gravitational luminosity of a hot plasma in $$R^{2}$$ R 2 gravity

Niri¹,

Jahan²,

Corda³

2016

Eur. Phys. J. C

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The R 2 -gravity contribution to the energy loss of a hot plasma due to gravitational bremsstrahlung is calculated in the linearized theory on the basis of classical Coulomb scattering of plasma constituents in small-angle scattering approximation. The explicit dependence of the gravitational luminosity on the plasma temperature is derived and its relevance to the Einstein gravity is demonstrated. The result, when applied to the Sun as a hot plasma, shows very good agreement with available data.

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Section: Gravitational Luminosity Of the Sunsupporting

confidence: 86%

Gravitational luminosity of a hot plasma in $$R^{2}$$ R 2 gravity

Niri¹,

Jahan²,

Corda³

2016

Eur. Phys. J. C

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“…Substituting the above expression of a into Eq. (84) and after some simplification, we obtain the following expression for ( ... 42,44]):…”

Section: Average Energy Radiation Rate From An Emrimentioning

confidence: 99%

Post-Newtonian properties of EMRI with power law potential

2021

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There are many astrophysical scenarios where extreme mass ratio inspiral (EMRI) binaries can be surrounded by inhomogenous matter distribution. The distribution of mass can affect the dynamical properties (e.g. orbital frequency, average energy radiation rate, etc.) of the EMRI. In this matter distribution, instead of Kepler–Newton potential, one may consider a more general form of potential i.e. power law potential. Moreover, due to the power law potential, at the Newtonian order itself, the velocity profile of test particles does not fall as much as that predicted by Kepler–Newton potential and this feature of the velocity profile may be observationally important. In this study, we have obtained the first post-Newtonian (1PN) expressions for dynamical quantities and the average energy radiation rate from the circular orbit EMRI which is surrounded by a matter distribution. We show that the energy radiation rate and orbital frequency of EMRI can be significantly different in the presence of power law potential as compared to that in the Kepler–Newton potential, signatures of which may be observed in gravitational waves from EMRI.

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“…We use the 1PN corrected acceleration (38) to determine the 1PN correction in other dynamical variables, i.e. velocity, radial coordinate and angular frequency.…”

Section: B Dynamical Quantities With Post-newtonian Correctionmentioning

confidence: 99%

“…velocity, radial coordinate and angular frequency. In the case of circular orbits, v P .n = 0, and the acceleration (38) reduces to…”

Section: B Dynamical Quantities With Post-newtonian Correctionmentioning

confidence: 99%

Post-Newtonian properties of EMRI with Power Law Potential

Gandevikar,

Solanki,

Dey

2021

Preprint

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There are many astrophysical scenarios where extreme mass ratio inspiral (EMRI) binaries can be surrounded by matter distribution. The distribution of mass can affect the dynamical properties (e.g. orbital frequency, average energy radiation rate, etc.) of the EMRI. In this matter distribution, instead of Kepler-Newton potential, one may consider a more general form of potential i.e. power law potential. Moreover, due to the power law potential, the velocity profile of test particles does not fall as much as that predicted by Kepler-Newton potential and this feature of the velocity profile may be observationally important. In this study, we have obtained the first post-Newtonian (1PN) expressions for dynamical quantities and the average energy radiation rate from the circular orbit EMRI which is surrounded by a matter distribution. We show that the energy radiation rate and orbital frequency of EMRI can be significantly different in the presence of power law potential as compared to that in the Kepler-Newton potential, signatures of which may be observed in gravitational waves from EMRI.

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Gravitational bremsstrahlung in case of central forces

Cited by 9 publications

References 4 publications

Gravitational luminosity of a hot plasma in $$R^{2}$$ R 2 gravity

Gravitational luminosity of a hot plasma in $$R^{2}$$ R 2 gravity

Post-Newtonian properties of EMRI with power law potential

Post-Newtonian properties of EMRI with Power Law Potential

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