Proof of the Classical Soft Graviton Theorem in D=4
arXiv:1912.06413
Abstract
Classical subleading soft graviton theorem in four space-time dimensions determines the gravitational wave-form at late and early retarded time, generated during a scattering or explosion, in terms of the four momenta of the ingoing and outgoing objects. This result was `derived' earlier by taking the classical limit of the quantum soft graviton theorem, and making some assumptions about how to deal with the infrared divergences of the soft factor. In this paper we give a direct proof of this result by analyzing the classical equations of motion of gravity coupled to matter. We also extend the result to the electromagnetic wave-form generated during scattering of charged particles, and present a new conjecture on subsubleading corrections to the gravitational wave-form at early and late retarded time.
arXiv commentLaTeX, 54 pages; v2: typo corrected in eq.(5.9)
References in corpus (37)
- Explosion Mechanisms of Core-Collapse Supernovae
- An Effective Field Theory of Gravity for Extended Objects
- Asymptotic symmetries and subleading soft graviton theorem
- Post-Newtonian corrections to the motion of spinning bodies in NRGR
- Scattering of Spinning Black Holes from Exponentiated Soft Factors
- New Gravitational Memories
- Evidence for a New Soft Graviton Theorem
- Radiation and the classical double copy for color charges
- Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
- Gravitational radiative corrections from effective field theory
- Dissipative Effects in the Worldline Approach to Black Hole Dynamics
- Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
- The Hyperfine Einstein-Infeld-Hoffmann Potential
- An electromagnetic analog of gravitational wave memory
- Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
- Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
- Classical gluon and graviton radiation from the bi-adjoint scalar double copy
- Gravitational Radiation from Color-Kinematics Duality
- A perturbative and gauge invariant treatment of gravitational wave memory
- Spinning particles, axion radiation, and the classical double copy
- Bound states and the classical double copy
- Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order
- Collinear and Soft Divergences in Perturbative Quantum Gravity
- Logarithmic Terms in the Soft Expansion in Four Dimensions
- Infrared features of gravitational scattering and radiation in the eikonal approach
- Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem
- Retarded Fields of Null Particles and the Memory Effect
- New Double Soft Emission Theorems
- The Bullet cluster at its best: weighing stars, gas and dark matter
- Soft Graviton Theorem in Arbitrary Dimensions
- Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics
- Subleading Soft Theorem for Multiple Soft Gravitons
- Black hole mass dynamics and renormalization group evolution
- Electromagnetic Memory
- From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
- Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
- A Classical Proof of the Classical Soft Graviton Theorem in D>4