| Description |
Naked singularities occur in general relativity as solutions to the Einstein equations. They can send signals to the observers at infinity, unlike the singularities hidden behind the event horizon. Various pathological features, like closed timelike curves, associated with them can be avoided via high energy modifications to general relativity in their vicinity. It makes, in principle, the naked singular solutions in general relativity legitimate.
In this talk, I will show that the naked singularities can act as particle accelerators and collisions with extremely large center of mass energies can take place in their vicinity, offering a unique probe of ultrahigh energy physics. I will first describe the particle acceleration mechanism in the vicinity of Kerr naked singularities. I will discuss two distinct cases, namely the particles following geodesic motion along the axis of symmetry of Kerr solution and along the equatorial plane. I will show that this process avoids various drawbacks and limitations of the similar process proposed in case of Kerr blackholes.
I will also describe the possible astrophysical implications, in the context of dark matter annihilations in the vicinity of Kerr naked singularity, which could lead to a test to distinguish it from Kerr blackholes.
I will then describe the generation of high energy particles in the late stages of gravitational collapse of matter could, on the onset of formation of naked singularity. I will show that, in the late stages of gravitational collapse, if the pressure turns negative, then the energy is radiated out from the surface of
the cloud which would be in the form of particles with extremely high energy.
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