gr-qc papers | Gist.Science

Quantum gravity represents the frontier where the very large meets the very small, attempting to unify Einstein's theory of gravity with the strange rules of quantum mechanics. This field explores the fundamental fabric of spacetime, seeking to understand how the universe behaves at its most extreme scales, from the heart of black holes to the moment of the Big Bang. Because these concepts often involve complex mathematics, they can feel distant to non-specialists, yet they hold the key to a complete picture of physical reality.

At Gist.Science, we bridge this gap by processing every new preprint in this category directly from arXiv. Our team provides both plain-language explanations and detailed technical summaries for each paper, ensuring that groundbreaking research is accessible to everyone, from curious students to seasoned researchers. Below are the latest papers in quantum gravity, offering fresh insights into the nature of our cosmos.

Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\mathbb{T}^3$ cosmological space-times

This paper investigates the numerical stability of an algebraic-hyperbolic formulation of the Einstein constraint equations for $\mathbb{T}^3$ cosmological space-times using a pseudo-spectral method, revealing that while the scheme suffers from unavoidable instabilities near FLRW space-times, it can be stable for Gowdy space-times and specific subclasses, offering a potential new approach for computing inhomogeneous initial data.

Alejandro Estrada-Llesta, Cristhian Martinez-Duarte, Leon Escobar-Diaz2026-04-15⚛️ gr-qc

ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity

This paper establishes that demanding the positivity of anomalous dimensions for heavy-light double twist operators in the dual CFT imposes a charge-to-mass ratio bound on charged probes in higher-derivative AdS black holes that exactly matches the Weak Gravity Conjecture, while demonstrating that Innermost Stable Circular Orbits (ISCOs) persist up to this bound with radii decreasing as higher-derivative coupling parameters increase.

Adrinil Paul, Chandrasekhar Bhamidipati2026-04-15⚛️ hep-th

Gravitational-Wave Parameter Estimation in non-Gaussian noise using Score-Based Likelihood Characterization

This paper introduces a score-based diffusion model approach that learns the empirical distribution of non-Gaussian instrumental noise directly from detector data, enabling unbiased gravitational-wave parameter estimation without the need for traditional data cleaning or computationally expensive joint inference.

Ronan Legin, Maximiliano Isi, Kaze W. K. Wong, Yashar Hezaveh, Laurence Perreault-Levasseur2026-04-15⚛️ gr-qc

Scalar-Induced Electromagnetic Radiation: Comparison with Axion-Like Particles and Implications for Modified Gravity

This paper presents a theoretical framework comparing electromagnetic radiation signatures from scalar fields in modified gravity with those of axion-like particles, demonstrating how distinct parity couplings and resonance effects can produce observable differences to aid in distinguishing between these models.

Wenyi Wang, Sousuke Noda, Taishi Katsuragawa2026-04-15⚛️ hep-ph

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

This paper derives analytical black hole metrics surrounded by dark matter spikes using the Tolman-Oppenheimer-Volkoff equations and investigates their gravitational wave ringdown waveforms, revealing that dark matter parameters induce detectable shifts in quasinormal frequencies up to the order of $10^{-4}$ .

Dong Liu, Yi Yang, Zheng-wen Long2026-04-15⚛️ gr-qc

De Sitter Horizon Edge Partition Functions

This paper analyzes the $\mathfrak{so}(d)$ structure of edge partition functions for massive and massless totally symmetric tensors on $S^{d+1}$ , revealing that the edge contribution for linearized Einstein gravity arises from shift-symmetric vector and scalar fields on $S^{d-1}$ , which suggests an interpretation involving an embedded $S^{d-1}$ brane.

Y. T. Albert Law2026-04-15⚛️ hep-th

BHaHAHA: A Fast, Robust Apparent Horizon Finder Library for Numerical Relativity

The paper introduces BHaHAHA, the first open-source, infrastructure-agnostic library for numerical relativity that utilizes a novel hyperbolic flow-based approach combined with multigrid-inspired refinements and parallelization to achieve robust and significantly faster apparent horizon finding compared to existing methods.

Zachariah B. Etienne, Thiago Assumpção, Leonardo Rosa Werneck, Samuel D. Tootle2026-04-15⚛️ gr-qc

A Match Made in Heaven: Linking Observables in Inflationary Cosmology

This paper demonstrates that in dynamical Chern-Simons gravity, the parity-odd trispectrum of curvature perturbations is not an independent observable but can be fully expressed as a rational, factorized "double copy" of the parity-odd graviton power spectrum and the mixed inflaton-graviton bispectrum.

David Stefanyszyn, Xi Tong, Yuhang Zhu2026-04-15⚛️ hep-th

On Geometric Spectral Functionals

This paper extends classical spectral functionals defined via the Wodzicki residue from torsion-free Dirac operators to geometries with torsion, demonstrating that their local densities recover fundamental geometric tensors and introducing novel chiral spectral invariants through a grading operator.

Arkadiusz Bochniak, Ludwik D\k{a}browski, Andrzej Sitarz, Paweł Zalecki2026-04-15🔢 math-ph

Gravitons on Nariai Edges

This paper demonstrates that the one-loop graviton path integral on $S^2\times S^{d-1}$ factorizes into a bulk thermal partition function and an edge contribution involving massless shift-symmetric fields, revealing that graviton edge partition functions probe beyond the horizon's intrinsic geometry and providing a compact formula for the integral on any $\Lambda >0$ Einstein manifold.

Y. T. Albert Law, Varun Lochab2026-04-15⚛️ hep-th

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gr-qc

Numerical stability of the Hyperbolic Formulation of the Constraint equations for T3\mathbb{T}^3T3 cosmological space-times