Regular Solutions in Einstein-Weyl Gravity Enable Exploration of Schwarzschild-Like Wormhole Throats
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The quest to reconcile general relativity with quantum mechanics drives research into modifications of Einstein’s theory, and recent work suggests that incorporating higher-derivative and non-local operators may resolve problematic singularities. Johanna Borissova, from the Abdus Salam Centre for Theoretical Physics, Imperial College London, Breno L. Giacchini of the Institute of Theoretical Physics, Charles University, and Aaron Held from the Institut de Physique Théorique Philippe Meyer, ENS, and their colleagues investigate a specific modification known as quasi-local Einstein-Weyl gravity. Their work classifies solutions exhibiting spherical symmetry, revealing a surprising result: unlike related theories, this quasi-local approach admits only regular solutions at the core of the gravitational field. This finding, coupled with the discovery of subtle corrections to the well-known Schwarzschild geometry at large distances, and the characterisation of diverse horizon and wormhole structures, represents a significant step towards a more complete and physically consistent theory of gravity.
Beyond General Relativity, Quadratic Curvature Gravity Scientists are actively exploring theories that extend beyond Einstein’s general relativity, focusing on modified gravity, black holes, and resolving problematic singularities.
This research encompasses approaches like quadratic gravity and higher-order curvature theories, which introduce terms beyond the standard Einstein-Hilbert action to address issues such as ultraviolet completeness and potential singularity resolution. Einstein-Weyl gravity, Lovelock and Horndeski theories, scalar-tensor theories, and Gauss-Bonnet gravity represent further avenues of investigation within this framework, with a central focus on black holes and attempts to construct regular solutions that avoid singularities. Numerical relativity and quantum gravity techniques offer connections to a more fundamental understanding of gravity at the quantum level.,. Quasi-Local Gravity Yields Regular Spacetime Solutions Researchers investigated a higher-derivative gravitational theory, extending beyond standard general relativity, and successfully classified solutions in static spherical symmetry. Their work focused on a quasi-local Einstein-Weyl action, revealing that it admits only regular solutions at the core of spacetime, a significant departure from local Einstein-Weyl gravity and a potential pathway to resolving singularities.
The team derived equations of motion for this quasi-local theory by introducing an auxiliary tensor field and a localized action, allowing for detailed analysis of static and spherically symmetric solutions. Varying the localized action yielded equations governing the spacetime geometry, and the resulting effective energy-momentum tensor describes the gravitational effects of the auxiliary field. Experiments demonstrated the existence of asymptotic corrections to the Schwarzschild geometry at large radial distances, indicating a modification of gravitational behavior in extreme conditions.,. Regular Horizons and Spacetime Corrections Identified Scientists have successfully classified solutions to gravitational field equations incorporating higher-derivative and non-local operators, extending beyond standard general relativity and Einstein-Weyl gravity.
This research demonstrates that this modified theory admits only regular solutions at the core of gravitational fields, a significant departure from some local quadratic gravity models and a step towards constructing a more complete and physically consistent theory of gravity. Furthermore, they identified asymptotic corrections to the Schwarzschild geometry at large distances, suggesting a refinement to our understanding of spacetime around massive objects. The investigation revealed a diverse range of possible solutions, encompassing Schwarzschild-like horizons, wormhole throats, and a novel type of horizon not present in simpler gravitational theories, characterized by a number of free parameters offering a rich landscape for exploring different gravitational configurations. Solutions within a particular class possess six free parameters, mirroring the complexity found in Einstein-Weyl gravity, but with the potential for further simplification. While the research provides a comprehensive classification of solutions under the given assumptions, further work is needed to fully explore the implications of these findings for astrophysical phenomena and cosmology. 👉 More information 🗞 Spherically symmetric solutions in quasi-local Einstein-Weyl gravity 🧠 ArXiv: https://arxiv.org/abs/2512.14148 Tags: Rohail T. As a quantum scientist exploring the frontiers of physics and technology. My work focuses on uncovering how quantum mechanics, computing, and emerging technologies are transforming our understanding of reality. I share research-driven insights that make complex ideas in quantum science clear, engaging, and relevant to the modern world. Latest Posts by Rohail T.: Bose-einstein Condensates Enable Analogue Studies of Black Holes and Curved Spacetime Effects December 18, 2025 Holographic Principles Enable Constraints on Quantum Gravity and Long-lived Scalar Fields December 18, 2025 50khz Linewidth Cascade Laser Advances High-Resolution Spectroscopy in the Mid-Infrared December 18, 2025