Abstract

The R^{2}-gravity contribution to energy loss of a hot plasma due to the 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.

Highlights

  • gravitational wave (GW) astronomy will be important for better knowledge of the Universe and to confirm or to rule out the physical consistency of the general theory of relativity (GTR) or of any other theory of gravitation [7]

  • This is because, in the context of extended theories of gravity (ETG), some differences between the GTR and the other theories can be pointed out starting by the linearized theory of gravity [7]

  • A new era in astrophysics and gravitation started with the events GW150914 [2] and GW151226 [4]

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Summary

Introduction

GW astronomy will be important for better knowledge of the Universe and to confirm or to rule out the physical consistency of the general theory of relativity (GTR) or of any other theory of gravitation [7]. The first motivation for this historical discussion arises from the fact that one of the most important goals of modern physics is to obtain a theory which could, in principle, show the fundamental interactions as different forms of the same symmetry [10,11,42] Considering this point of view, today one observes and tests the results of one or more breaks of symmetry. As a matter of fact, the accelerated expansion of the Universe, which is observed today, implies that cosmological dynamics is dominated by the so called Dark Energy, which gives a large negative pressure This is the standard picture, in which this new ingredient is considered as a source on the right-hand side of the field equations.

Linearized theory and quadrupole radiation in quadratic gravity
Thermal gravitational radiation of a hot plasma
Gravitational luminosity of the Sun
Concluding remarks

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