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  1. This doctoral thesis is organized into seven chapters. The first chapter introduces readers to the formation of black holes and naked singularities as an end state of continuous gravitational collapse. The physical and geometrical properties of the Schwarzschild black hole, JMN-1 naked singularity, and JNW naked singularity are summarised. The motivation and objectives to be derived are based ...

  2. Here, we show that some white dwarfs can realistically transmute into black holes and naked singularities with a wide range of near- and sub-solar-mass values by capturing asymmetric or non-self-annihilating primordial dark matter (PDM) particles. We argue that, while a type Ia supernova due to the accumulation of dark matter at the core of a ...

  3. The gravitational collapse can also lead to an eternal naked singularity formation, Footnote 1 [24, 52, 53]. The gravitational collapse in Vaidya spacetime can lead to an event-like naked singularity. However, in Bonnor–Vaidya spacetime the result of this process might be an object-like naked singularity Footnote 2. The analytical model of ...

  4. The endoparasitic naked singularity should start accreting matter from its host immediately after its formation, and transmute the entire host into a naked singularity. Note that it is recently proposed that the gravitational collapse also gives rise to the primordial naked singularities [ 21 ] instead of primordial BHs depending on the nature ...

  5. The process of the gravitational collapse might lead not only to a black hole but also to naked singularity formation. In this paper, we consider the generalized Vaidya spacetime with polytropic and generalized polytropic equations of state. We solve the Einstein and Einstein–Maxwell equations to obtain the explicit form of a mass function. We consider the limiting cases of solutions and ...

  6. Here, we argue that, depending on the initial conditions, a dark core collapse could give rise to either a BH or a naked singularity. For example, if the accumulated cloud of DM particles in the core of a neutron star can be modeled as an anisotropic fluid and it fulfils the criterion for collapse, an endoparasitic naked singularity could form ...

  7. Regarding the singularity of black holes, there are two scenarios: one is the gravitational collapse leading to a naked singularity, and the other is that the end product of gravitational collapse is a black hole, meaning the singularity produced is enveloped by the event horizon of the black hole, thereby not producing a naked singularity ...

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