Photon and neutrino redshift in the field of braneworld compact stars

Abstract

We study gravitational redshift of photons and neutrinos radiated by the braneworld neutron or quark stars that are considered in the framework of the simple model of the internal spacetime with uniform distribution of energy density, and the external spacetime described by the Reissner-Nordström geometry characterized by the braneworld "tidal" charge $b$. For negative tidal charges, the external spacetime is of the black-hole type, while for positive tidal charges, the external spacetime can be of both black-hole and naked-singularity type. We consider also extremely compact stars allowing existence of trapped null geodesics in their interior. We assume radiation of photons from the surface at radius $R$, neutrinos from the whole compact star interior, and their motion along radial null geodesics of the spacetime. In dependency on the compact stars parameters $b$ and $R$, the photon surface redshift is related to the range of the neutrino internal redshift and the signatures of the tidal charge and possible existence of extremely compact stars are discussed. When both surface (photon) and internal (neutrino) redshift are given by observations, both compact star parameters $R$ and $b$ can be determined in the framework of our simple model.

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• Quasinormal frequencies of black hole in the braneworld
• Efficiency of the Keplerian accretion in the Braneworld Kerr--Newman Spacetimes and mining instability of some naked singularity spacetimes
• Particle collisions and optical effects in the mining Kerr--Newman spacetimes
• String loops in the field of braneworld spherically symmetric black holes and naked sigularities
• Polytropic spheres containing regions of trapped null geodesics
• Compact stars with a small electric charge: the limiting radius to mass relation and the maximum mass for incompressible matter
• Polytropic spheres modelling dark matter halos of dwarf galaxies
• Non-monotonic Keplerian velocity profiles around near-extreme braneworld Kerr black holes
• Slowly rotating condensate dark stars beyond the mean-field approximation