Looking for a twist: probing the cosmological gravitomagnetic effect via weak lensing-kSZ cross correlations

Abstract

General relativity predicts that the rotational momentum flux of matter twists the spacetime via a vector gravitomagnetic (frame-dragging) field, which remains undetected in cosmology. This vector field induces an additional gravitational lensing effect; at the same time, the momentum field sources the kinetic Sunyaev-Zel'dovich (kSZ) effect. The common origin of these two effects allows us to probe the gravitomagnetic signal via their cross-correlations. In this paper, we explore the possibility of detecting the gravitomagnetic field in $\Lambda$CDM by cross-correlating the weak-lensing convergence field with the CMB temperature map, which is imprinted with the kSZ signal. This approach allows us to extract the gravitomagnetic effect because the cross correlation between the standard Newtonian contribution to the weak-lensing convergence field, ${\kappa }_{\Phi }$, and the kSZ effect is expected to vanish. We study the cross correlations with a suite of large-volume Newtonian $N$-body simulations and a small-volume, high-resolution, general-relativistic counterpart. We show that insufficient simulation resolution can introduce significant spurious correlations between ${\kappa }_{\Phi }$ and kSZ. From the high-resolution simulation, we find that the cumulative signal-to-noise ratio (SNR) of the kSZ-gravitomagnetic convergence field can reach almost 15 (30) at $\ell \simeq 5000$ ($10^4$) for the lensing source redshift $z_s=0.83$, if only cosmic variance is considered. We make forecast for next-generation lensing surveys such as Euclid and LSST, and CMB experiments such as Simons Observatory and CMB-S4, and find that, for $z_s=1.4$, the cumulative SNR can exceed 5 (9) at $\ell \simeq 5000$ ($10^4$), indicating that the cosmological gravitomagnetic effect can be detected, if several foreground contaminations can be removed.

arXiv commentMinor corrections (typos, references, ...). Matches accepted version

References in corpus (58)

• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Efficient Computation of CMB anisotropies in closed FRW models
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• The Simons Observatory: Science goals and forecasts
• Inflation Dynamics and Reheating
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Cosmic Growth History and Expansion History
• Planck 2018 results. VIII. Gravitational lensing
• Transients from Initial Conditions in Cosmological Simulations
• Determination of Inflationary Observables by Cosmic Microwave Background Anisotropy Experiments
• Relativistic second-order perturbations of the Einstein-de Sitter Universe
• Planck 2013 results. XXX. Cosmic infrared background measurements and implications for star formation
• The Atacama Cosmology Telescope: A Measurement of the Cosmic Microwave Background Power Spectra at 98 and 150 GHz
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• Dark Synergy: Gravitational Lensing and the CMB
• General relativity and cosmic structure formation
• An Improved Measurement of the Secondary Cosmic Microwave Background Anisotropies from the SPT-SZ + SPTpol Surveys
• The Atacama Cosmology Telescope: A CMB lensing mass map over 2100 square degrees of sky and its cross-correlation with BOSS-CMASS galaxies
• Error analysis in cross-correlation of sky maps: application to the ISW detection
• The Kinetic Sunyaev-Zel'dovich effect as a probe of the physics of cosmic reionization: the effect of self-regulated reionization
• Rees-Sciama Effect in a CDM Universe
• Calculation of the Ostriker-Vishniac Effect in Cold Dark Matter Models
• The Kinetic Sunyaev-Zel'dovich Effect from Radiative Transfer Simulations of Patchy Reionization
• Computing General Relativistic effects from Newtonian N-body simulations: Frame dragging in the post-Friedmann approach
• Precision era of the kinetic Sunyaev-Zeldovich effect: simulations, analytical models and observations and the power to constrain reionization
• The cosmological background of vector modes
• Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic Shear
• A Relativistic Approch to Gravitational Instability in the Expanding Universe: Second Order Lagrangian Solutions
• Impact of Scale Dependent Bias and Nonlinear Structure Growth on the ISW Effect: Angular Power Spectra
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• Testing dark matter and geometry sustained circular velocities in the Milky Way with Gaia DR2
• Gravitational lensing in metric theories of gravity
• Integrated Sachs Wolfe Effect and Rees Sciama Effect
• Vector modes generated by primordial density fluctuations
• Relativistic Interpretation of Newtonian Simulations for Cosmic Structure Formation
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part I. Methodology and code description
• Kinetic Sunyaev--Zel'dovich effect in rotating galaxy clusters from MUSIC simulations
• Gravitational lensing by spinning and escaping lenses
• Weak lensing in the second post-Newtonian approximation: Gravitomagnetic potentials and the integrated Sachs-Wolfe effect
• The impact of modified gravity on the Sunyaev-Zel'dovich effect
• Weak lensing induced by second-order vector mode
• Towards accurate modelling of the ISW effect, the non-linear contribution
• Kinetic Sunyaev-Zeldovich effect in modified gravity
• Non-linear relativistic contributions to the cosmological weak-lensing convergence
• The Impact of Nonlinear Structure Formation on the Power Spectrum of Transverse Momentum Fluctuations and the Kinetic Sunyaev-Zel'dovich Effect
• f(R) gravity on non-linear scales: The post-Friedmann expansion and the vector potential
• Constraining the Rotational Kinematic Sunyaev-Zel'dovich Effect in Massive Galaxy Clusters
• $\text{fRevolution}$ $-$ Relativistic Cosmological Simulations in $f(R)$ Gravity I: Methodology
• Vector perturbations of galaxy number counts
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part II. Initial conditions
• Vector modes in $\Lambda$CDM: the gravitomagnetic potential in dark matter haloes from relativistic $N$-body simulations
• Is There a Detectable Vishniac Effect?
• Relativistic weak lensing from a fully non-linear cosmological density field
• Effective dark matter power spectra in $f(R)$ gravity
• Gravitational corrections to light propagation in a perturbed FLRW-universe and corresponding weak lensing spectra
• Measuring the gravitomagnetic distortion from rotating halos I: methods

Cited by in corpus (8)

• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Cosmology using numerical relativity
• Galaxy cluster rotation revealed in the MACSIS simulations with the kinetic Sunyaev-Zeldovich effect
• The halo bias for number counts on the light cone from relativistic N-body simulations
• Measuring cosmic filament spin with the kinetic Sunyaev-Zel'dovich effect
• EBWeyl: a Code to Invariantly Characterize Numerical Spacetimes
• Structure formation and quasi-spherical collapse from initial curvature perturbations with numerical relativity simulations
• The frame-dragging vector potential on galaxy scales from Dark-Matter-only Newtonian $N$-body simulations