2025/02/26 by Ganiyeva, Nailya, Rosa, João Luís, Lobo, Francisco S. N.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2502.19323
We explore the properties of traversable wormhole spacetimes within the framework of energy-momentum squared gravity, also known as f(R,T2) gravity, where R represents the Ricci scalar, Tab is the energy-momentum tensor, and T2 = TabTab. Adopting a linear functional form f(R,T2) = R + γT2, we demonstrate the existence of a wide range of wormhole solutions that satisfy all of the energy conditions without requiring fine-tuning of the model parameters. Due to the inherent complexity of the field equations, these solutions are constructed through an analytical recursive method. However, they lack a natural localization, requiring a junction with an external vacuum region. To address this, we derive the corresponding junction conditions and establish that the matching must always be smooth, precluding the formation of thin shells at the interface. Using these conditions, we match the interior wormhole geometry to an exterior Schwarzschild solution, yielding localized, static, and spherically symmetric wormholes that satisfy all the energy conditions throughout the entire spacetime. Finally, we extend our analysis to more intricate dependencies on T2, demonstrating that the methodology remains applicable as long as no mixed terms between R and T2 are introduced.