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July 11, 2026The European Physical Journal COpen Access

Are Petrov type-N and D spacetimes admitting CTCs valid in f(R,Lₘ,Φ ,X) gravity?

Faizuddin Ahmed Ahmad Al‐Badawi İzzet Sakallı

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Key Points

The aim is to assess if specific time-machine geometries remain valid solutions in the context of f(R,L_m,Φ,X) gravity.
Computed curvature invariants based on exact solutions from Petrov type-N and D spacetimes.
Derived modified field equations using a defined explicit model of f(R,L_m,Φ,X) with vanishing scalar potential.
Analyzed effective stress-energy components derived from a harmonic scalar profile.
For the Ori metric, the Ricci scalar was found to vanish, leading to specific curvature relations.
The Ahmed metric revealed a kinetic invariant expressed in terms of coordinates with specific dependencies on variables.

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Implication

Investigates the validation of time-machine geometries in modified gravity frameworks, suggesting implications for theoretical models.

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Cite This Study

Ahmed et al. (2026) studied this question.

synapsesocial.com/papers/6a5482a4475c38bf615a5c24 https://doi.org/10.1140/epjc/s10052-026-16044-w

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