Classical gravitational bremsstrahlung in R²-gravity

Abstract

The R2-gravity contribution to the gravitational energy loss in a classical scattering of two charged particles is calculated using the classical formula of the quadrupole radiation, assuming the small angle scattering approximation.

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

“…Hence, the analysis of the gravitational luminosity of a plasma should be of general interest and may be, in principle, another test for the validity of f (R) theories of gravity. An expression for the amount of radiated energy in a classical gravitational bremsstrahlung in R 2 -gravity has been derived in [27] through the assumption of the small-angle scattering approximation. In this paper, we applied it to a derivation of the gravitational luminosity of a hot plasma with gravitational bremsstrahlung as a mechanism for the energy loss.…”

“…Setting a 1 = 4 3 in the first term of the above equation reproduces the well-known energy loss of the GTR [18]. The gravitational energy radiated due to the Coulomb collision between an electron with charge e and speed v and an ion with charge +Ze in the small-angle scattering regime can be obtained [27]:…”

“…In [27] an expression has been derived for the amount of radiated energy in a classical gravitational bremsstrahlung in R 2 -gravity, assuming the smallangle scattering approximation. In the present paper, we apply it to derive the gravitational luminosity of a hot plasma with the gravitational bremsstrahlung as a mechanism for the energy loss.…”

Gravitational luminosity of a hot plasma in R^2 gravity

“…Hence, the analysis of the gravitational luminosity of a plasma should be of general interest and may be, in principle, another test for the validity of f (R) thories of gravity. An expression for the amount of radiated energy in a classical gravitational bremsstrahlung in R 2 -gravity has been derived in [27] through the assumption of the small-angle scattering approximation. In this paper, we applied it to derive the gravitational luminosity of a hot plasma with the gravitational bremsstrahlung as a mechanism for the energy loss.…”

“…Setting a 1 = 4 3 in the first term of above equation [18], re-produces the well-known energy loss of the GTR [18]. The gravitational energy radiated due to the Coulomb collision between an electron with charge e and speed v and an ion with charge +Ze, in small-angle scattering regime can be obtained as [27]…”