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arXiv · 2603.21187

Causal Structure of Spacetime Singularities and Their Observable Signatures

Bina Patel·Jahnvi Mistry·Ayush Bidlan·Parth Bambhaniya
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Abstract

We analyze the causal structure of horizonless compact objects via the light-cone geometry and conformal compactification of the Joshi-Malafarina-Narayan (JMN-1) and Janis-Newman-Winicour (JNW) spacetimes. Penrose diagrams reveal that JMN-1 undergoes a transition from timelike $(0<M_0<2/3)$ to null $(2/3<M_0<4/5)$ singularities, while JNW remains timelike throughout, in contrast to the spacelike singularity of the Schwarzschild spacetime. We show that photon spheres exist in Schwarzschild and JNW, but arise in JMN-1 only in the null singularity phase, establishing a direct link between causal character and null geodesic trapping. We further demonstrate that radial timelike geodesics develop turning points for certain parameter regimes in both JMN-1 and JNW spacetimes, indicating the emergence of effective repulsive behavior in the strong field region. These features lead to distinct strong field lensing and shadow signatures, potentially testable by very long baseline interferometric observations such as those of the Event Horizon Telescope.

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Bina Patel, Jahnvi Mistry, Ayush Bidlan, Parth Bambhaniya. 2026-03-22. Causal Structure of Spacetime Singularities and Their Observable Signatures. https://arxiv.org/abs/2603.21187

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