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This research aims to analyze the Schwarzschild spacetime using the Kretschmann scalar and Raychaudhuri equation in the context of f(R, Σ, T) gravity.

July 10, 2026Modern Physics Letters A

Applications of the Kretschmann Scalar and Raychaudhuri Equation in f(R, Σ,T) Gravity

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This research aims to analyze the Schwarzschild spacetime using the Kretschmann scalar and Raychaudhuri equation in the context of f(R, Σ, T) gravity.
Derived the modified Kretschmann scalar incorporating curvature and torsion effects.
Formulated the Raychaudhuri equation in the context of Parameterized Absolute Parallelism geometry.
Applied the equation to analyze a radial timelike congruence for its expansion scalar.
Confirmed that the modified theory recovers General Relativity's results in the limit of the PAP parameter.
Showed that curvature and tidal forces can be intensified or suppressed by varying the PAP parameter.
Revealed that torsion modifies geodesic focusing, impacting predictions on singularity formation under standard energy conditions.

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Implication

Investigates gravitational behavior using geometric tools in a modified gravity framework, suggesting new insights on singularity formation.

Cite This Study

Bakry et al. (2026) studied this question.

synapsesocial.com/papers/6a508ea56eeac72a437a1562 https://doi.org/10.1142/s0217732326502044

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Implication

Investigates gravitational behavior using geometric tools in a modified gravity framework, suggesting new insights on singularity formation.

Applications of the Kretschmann Scalar and Raychaudhuri Equation in f(R, Σ,T) Gravity

Key Points

Discussion

Implication

Cite This Study

Applications of the Kretschmann Scalar and Raychaudhuri Equation in f(R, Σ,T) Gravity

Key Points

Discussion

Implication

Cite This Study

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