Eigentensors of the Lichnerowicz operator in Euclidean Schwarzschild metrics

Martínez-Morales, José L.

doi:10.1002/andp.200510184

Cited by 2 publications

(1 citation statement)

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“…The operator g µρ g νσ + 2R µρνσ is the familiar Lichnerowicz operator. It has been studied on the Schwarzschild background in [69,70]. An important difficulty with the choice of the harmonic gauge is that the Lichnerowicz operator couples various spherical harmonics of the graviton.…”

Section: Spherically Symmetric Backgroundsmentioning

confidence: 99%

Soft graviton exchange and the information paradox

Gaddam¹,

Groenenboom²

2020

Preprint

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We show that there is a remarkable soft limit in quantum gravity where the information paradox is readily resolved due to virtual soft graviton exchange on the black hole horizon. This regime is where collision energies satisfy √ s γM P l (with γ ∼ M P l /M BH ) near the horizon. We call this the black hole eikonal phase, in contrast to its flat space analogue where collisions are trans-Planckian. Hawking's geometric optics approximation neglects gravitational interactions near the horizon, and results in thermal occupation numbers in the Bogoliubov coefficients. We show that these interactions are mediated by graviton exchange in 2 → 2 scattering near the horizon, and explicitly calculate the S-matrix non-perturbatively in M P l /M BH and . This involves a re-summation of infinitely many ladder diagrams near the horizon, all mediated by virtual soft gravitons. The S-matrix turns out to be a pure phase only upon this re-summation. The impact parameter b satisfies L P l b R S , where R S is the Schwarzschild radius; therefore, our results are agnostic of Planckian physics.Our calculation shows that non-renormalisability of gravity is irrelevant for a resolution of the information problem, and is agnostic of any specific ultraviolet completion. In contrast to the flat space eikonal limit, the black hole eikonal phase involves collisions of extremely low energy near the horizon, thereby avoiding firewalls for black holes much larger than Planck size.

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Section: Spherically Symmetric Backgroundsmentioning

confidence: 99%

Soft graviton exchange and the information paradox

Gaddam¹,

Groenenboom²

2020

Preprint

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Energy Loss in a Strongly Coupled Thermal Medium and the Gauge-String Duality

Gubser¹,

Pufu²,

Rocha³

et al. 2010

Quark-Gluon Plasma 4

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We review methods developed in the gauge-string duality to treat energy loss by energetic probes of a strongly coupled thermal medium. After introducing the black hole description of the thermal medium, we discuss the trailing string behind a heavy quark and the drag force that it implies. We then explain how to solve the linearized Einstein equations in the presence of the trailing string and extract from the solutions the energy density and the Poynting vector of the dual gauge theory. We summarize some efforts to compare these calculations to heavy ion phenomenology.

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Eigentensors of the Lichnerowicz operator in Euclidean Schwarzschild metrics

Cited by 2 publications

References 42 publications

Soft graviton exchange and the information paradox

Soft graviton exchange and the information paradox

Energy Loss in a Strongly Coupled Thermal Medium and the Gauge-String Duality

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