Abstract
Quintessence fields, introduced to explain the speed-up of the Universe, might affect the geometry of spacetime surrounding black holes, as compared to the standard Schwarzschild and Kerr geometries. In this framework, we study the neutrino pairs annihilation into electron-positron pairs (nu {bar{nu }}rightarrow e^-e^+) near the surface of a neutron star, focusing, in particular, on the Schwarzschild-like geometry in presence of quintessence fields. The effect of the latter is to increase the photon-sphere radius (R_{ph}), increasing in such a way the maximum energy deposition rate near to R_{ph}. The rate turns out to be several orders of magnitude greater than the rate computed in the framework of General Relativity. These results might provide a rising in the GRBs energy emitted from a close binary neutron star system and might be used to constraints the parameters of the quintessence model. Finally we theoretically study the effects of rotation on the neutrino energy deposition.
Highlights
Recent cosmological observations suggest that our Universe is currently undergoing to an accelerated expansion [1,2,3,4,5,6]
We have analyzed the neutrino pair annihilation νν → e+e− in the framework of BH surrounding by a quintessence field
Such an enhancement could be relevant for the generation of GRBs in close neutron star binary merging, for which neutrino pairs annihilation has been proposed as a possible source, and can be used to find constraints on the parameter c of the model
Summary
Recent cosmological observations suggest that our Universe is currently undergoing to an accelerated expansion [1,2,3,4,5,6]. To explain such a phase of the Universe evolution, several alternative or modified theories of gravity have been proposed, which allow, among the other things, to encompass several shortcomings of the cosmology based on General Relativity, that is, the standard cosmological model. The nature and origin of dark energy is till a source of vivid debate
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