Theory and Numerics of Gravitational Waves from Preheating after Inflation

Abstract

Preheating after inflation involves large, time-dependent field inhomogeneities, which act as a classical source of gravitational radiation. The resulting spectrum might be probed by direct detection experiments if inflation occurs at a low enough energy scale. In this paper, we develop a theory and algorithm to calculate, analytically and numerically, the spectrum of energy density in gravitational waves produced from an inhomogeneous background of stochastic scalar fields in an expanding universe. We derive some generic analytical results for the emission of gravity waves by stochastic media of random fields, which can test the validity/accuracy of numerical calculations. We contrast our method with other numerical methods in the literature, and then we apply it to preheating after chaotic inflation. In this case, we are able to check analytically our numerical results, which differ significantly from previous works. We discuss how the gravity wave spectrum builds up with time and find that the amplitude and the frequency of its peak depend in a relatively simple way on the characteristic spatial scale amplified during preheating. We then estimate the peak frequency and amplitude of the spectrum produced in two models of preheating after hybrid inflation, which for some parameters may be relevant for gravity wave interferometric experiments.

28 pages, 10 figures, refs added, published version

References in corpus (7)

• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• A stochastic background of gravitational waves from hybrid preheating
• Nonlinear Inflaton Fragmentation after Preheating
• Gravitational Wave Sources from New Physics

Cited by in corpus (135)

• Gravitational Wave Production by Collisions: More Bubbles
• Reheating in Inflationary Cosmology: Theory and Applications
• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• CMB-S4 Science Case, Reference Design, and Project Plan
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• Challenges and Opportunities of Gravitational Wave Searches at MHz to GHz Frequencies
• Cosmology with the Laser Interferometer Space Antenna
• Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach
• An Atomic Gravitational Wave Interferometric Sensor (AGIS)
• A Gravitational Wave Background from Reheating after Hybrid Inflation
• Relating gravitational wave constraints from primordial nucleosynthesis, pulsar timing, laser interferometers, and the CMB: implications for the early universe
• Probing reheating temperature of the universe with gravitational wave background
• Axion cosmology with long-lived domain walls
• Induced gravitational waves as a probe of thermal history of the universe
• Gravitational Waves from Abelian Gauge Fields and Cosmic Strings at Preheating
• An Atomic Gravitational Wave Interferometric Sensor in Low Earth Orbit (AGIS-LEO)
• Precision calculations of the gravitational wave background spectrum from inflation
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• Inflaton Fragmentation and Oscillon Formation in Three Dimensions
• Gravitional radiation from first-order phase transitions in the presence of a fluid
• Gravitational perturbations from oscillons and transients after inflation
• Blue-tilted Tensor Spectrum and Thermal History of the Universe
• Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem
• Cosmological Background Interpretation of Pulsar Timing Array Data
• Detectability of Gravitational Waves from Phase Transitions
• Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA
• GUT-Scale Primordial Black Holes: Consequences and Constraints
• Laser-interferometric Detectors for Gravitational Wave Background at 100 MHz : Detector Design and Sensitivity
• Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
• Observing Invisible Axions with Gravitational Waves
• DEFROST: A New Code for Simulating Preheating after Inflation
• Gravitational Waves from Oscillons with Cuspy Potentials
• Gravitational wave production from preheating: parameter dependence
• The Art of Lattice and Gravity Waves from Preheating
• On the gravitational wave sources from the NANOGrav 12.5-yr data
• Examining the end of inflation with primordial black holes mass distribution and gravitational waves
• Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
• B-modes from Cosmic Strings
• Gravitational Waves From the End of Inflation: Computational Strategies
• Gravitational Radiation from First-Order Phase Transitions
• Parametric Resonance in the Early Universe - A Fitting Analysis
• Generation of gravitational waves during early structure formation between cosmic inflation and reheating
• Gravitational waves at aLIGO and vacuum stability with a scalar singlet extension of the Standard Model
• Gravitational Wave from Graviton Bremsstrahlung during Reheating
• Numerical simulations of the decay of primordial magnetic turbulence
• Vector modes generated by primordial density fluctuations
• Palatini $R^2$ Quintessential Inflation
• How Well Can We Really Determine the Scale of Inflation?
• Power spectrum of domain-wall network and its implications for isotropic and anisotropic cosmic birefringence
• Quintessential inflation: A tale of emergent and broken symmetries
• P not PQ
• Fundamental physics and cosmology with LISA
• Revealing the Cosmic History with Gravitational Waves
• Gravitational Radiation from Primordial Helical MHD Turbulence
• Gravitational waves from the fragmentation of a supersymmetric condensate
• Gravity Waves and Primordial Black Holes in Scalar Warm Little Inflation
• Ultrahigh frequency primordial gravitational waves beyond the kHz: The case of cosmic strings
• Stochastic Backgrounds of Gravitational Waves from Cosmological Sources: Techniques and Applications to Preheating
• Oscillon formation during inflationary preheating with general relativity
• Thermal Inflation and the Gravitational Wave Background
• Challenges and Opportunities of Gravitational Wave Searches above 10 kHz
• Two phase reheating: CMB constraints on inflaton and dark matter phenomenology
• Inflaton fragmentation: Emergence of pseudo-stable inflaton lumps (oscillons) after inflation
• Curvaton Decay by Resonant Production of the Standard Model Higgs
• Gravitational Waves from an Inflation Triggered First-Order Phase Transition
• Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
• Precision Early Universe Cosmology from Stochastic Gravitational Waves
• Spillway Preheating
• Exciting gauge field and gravitons in a brane-anti-brane annihilation
• Multi-Field Inflation on the Landscape
• On the Suppression of Parametric Resonance and the Viability of Tachyonic Preheating after Multi-Field Inflation
• Gravitational wave production from preheating with trilinear interactions
• Primordial black holes and gravitational waves in teleparallel Gravity
• Domain walls and gravitational waves in the Standard Model
• A Back-reaction Induced Lower Bound on the Tensor-to-Scalar Ratio
• Gravitational waves from cosmological phase transitions
• Gauge preheating with full general relativity
• Gravitational Waves from the Non-Perturbative Decay of Condensates along Supersymmetric Flat Directions
• Exit from Inflation with a First-Order Phase Transition and a Gravitational Wave Blast
• Can Self-Ordering Scalar Fields explain the BICEP2 B-mode signal?
• No quasi-stable scalaron lump forms after $R^2$ inflation
• Precision cosmology with primordial GW backgrounds in presence of astrophysical foregrounds
• Stochastic Gravitational Waves from Post-inflationary Structure Formation
• Oscillon formation from preheating in asymmetric inflationary potentials
• Nonperturbative structure in coupled axion sectors and implications for direct detection
• Gravitational Waves from Preheating in Gauss-Bonnet Inflation
• The Spectrum of Dark Radiation as a Probe of Reheating
• Affleck-Dine dynamics, Q-ball formation and thermalisation
• Primordial gravitational waves amplification from causal fluids
• Gravitational waves from first order phase transitions during inflation
• Relativistic viscous effects on the primordial gravitational waves spectrum
• "Stairway to Heaven" -- Spectroscopy of Particle Couplings with Gravitational Waves
• Gravitational-wave signatures from reheating
• Numerical study of inflationary preheating with arbitrary power-law potential and a realization of curvaton mechanism
• Non-topological solitons and quasi-solitons
• Gravitational waves as a probe of SUSY scale
• Variable Inflaton Equation of State and Reheating
• Non-linear metric perturbation enhancement of primordial gravitational waves
• Preheating constraints in $\alpha$-attractor inflation and Gravitational Waves production
• (P)reheating and gravitational waves in $\alpha$-attractor models
• Fast Likelihood-free Reconstruction of Gravitational Wave Backgrounds
• Chiral gravitational effect in time-dependent backgrounds
• Production of gravitational waves during preheating in the Starobinsky inflationary model
• Gravitational Wave Symphony from Oscillating Spectator Scalar Fields
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Present and future of CosmoLattice
• Gravitational Waves from Preheating in Inflation with Weyl Symmetry
• Detectable Gravitational Waves from preheating probes non-thermal Dark Matter
• The Physics of Q-balls
• Propagation of gravitational waves in an expanding background in the presence of a point mass
• Post-inflationary structure formation boosted by parametric self-resonance
• Impact of Dark Sector Preheating on CMB Observables
• Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
• Equation of state during (p)reheating with trilinear interactions
• Gravitational Wave Probe of Gravitational Dark Matter from Preheating
• A narrow-band parameterization for the stochastic gravitational wave background
• An SZ-Like Effect on Cosmological Gravitational Wave Backgrounds
• Discrete $R$-symmetry, Various Energy Scales and Gravitational Waves
• A new gravitational wave background from the Big Bang
• Potential Surge Preheating: enhanced resonance from potential features
• Non-thermal moduli production during preheating in $\alpha$-attractor inflation models
• Tensor Fluctuations in the Early Universe
• Theoretical Radio Signals from Radio-Band Gravitational Waves Converted from the Neutron Star Magnetic Field
• Hybrid inflation and gravitational waves from accidentally light scalars
• ALP Dark Matter from Kinetic Fragmentation: Opening up the Parameter Window
• Probing baryogenesis with gravitational waves
• Stochastic gravitational wave from graviton bremsstrahlung in inflaton decay into massive spin 3/2 particles
• Supercooled Audible Axions
• Transient Acceleration after Non-minimal M-flation Preheating
• Dark Matter Freeze-in from a $Z^{\prime }$ Reheaton
• Particle Cosmology
• Gravitational Waves from Preheating with Modified Gravitational-wave Propagation
• Generating Gravitational Waves After Inflation
• Stochastic gravitational wave background from the collisions of dark matter halos
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz