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First direct detection,of gravitational wave,Nice agreement with GR prediction. for a binary black hole,Inspiral large mass and high compactness. Merger numerical relativity,Ringdown dominant quasinormal mode. B P Abbott et al LIGO Scientific and Virgo Collaborations. PRL 116 no 6 061102 2016 PRL 116 no 22 221101 2016. Does the event horizon exist,Innermost stable,Observation evidence circular orbit. ISCO accretion disk inspiral phase terminates, Light ring image of light ring GW ringdown mode Unstable.

light ring, Display a ringdown stage at early time similar radial infall of a particle. into a wormhole,to a black hole although quite different QNMs. The initial ringdown can be reflected back after,some time delay e g echoes modulation distortion. Initial attempt to find echoes in aLIGO data,Abedi Dykaar Afshordi arXiv 1612 00266 gr qc. Information paradox, Drastic modification close to horizon in the effective theory firewall.

Maybe no event horizon formed quantum gravity fuzzball quantum phase transition. gravastar time dependent dynamical effect blackstar. Unrealistic or fine tuned properties Still need better candidates. Does the event horizon exist,Innermost stable,Observation evidence circular orbit. ISCO accretion disk inspiral phase terminates, Light ring image of light ring GW ringdown mode Unstable. light ring, Ultracompact horizonless objects Cardoso et al PRL 116 no 17 171101. 2016 arXiv 1608 08637 gr qc Schd 3M,resemble the BH spacetime down to the light ring. Display a ringdown stage at early time similar radial infall of a particle. into a wormhole,to a black hole although quite different QNMs.

The initial ringdown can be reflected back after,some time delay e g echoes modulation distortion. Initial attempt to find echoes in aLIGO data,Abedi Dykaar Afshordi arXiv 1612 00266 gr qc. Information paradox, Drastic modification close to horizon in the effective theory firewall. Maybe no event horizon formed quantum gravity fuzzball quantum phase transition. gravastar time dependent dynamical effect blackstar. Unrealistic or fine tuned properties Still need better candidates. Does the event horizon exist,Innermost stable,Observation evidence circular orbit. ISCO accretion disk inspiral phase terminates, Light ring image of light ring GW ringdown mode Unstable.

light ring, Ultracompact horizonless objects Cardoso et al PRL 116 no 17 171101. 2016 arXiv 1608 08637 gr qc Schd 3M,resemble the BH spacetime down to the light ring. Display a ringdown stage at early time similar radial infall of a particle. into a wormhole,to a black hole although quite different QNMs. The initial ringdown can be reflected back after,some time delay e g echoes modulation distortion. Initial attempt to find echoes in aLIGO data,Abedi Dykaar Afshordi arXiv 1612 00266 gr qc.

Information paradox, Drastic modification close to horizon in the effective theory firewall. Maybe no event horizon formed quantum gravity fuzzball quantum phase transition. gravastar time dependent dynamical effect blackstar. Unrealistic or fine tuned properties Still need better candidates. Asymptotically free quadratic gravity,A new perspective on quadratic gravity. Finding solutions in a classical theory that captures its main features. A novel horizonless 2 2 hole, Generic solutions in quadratic gravity as sourced by dense matter. Exterior is the Schwarzschild Schd metric down to would be horizon. An interior with a tiny proper volume a seemingly innocuous timelike. curvature singularity and a deep gravitational potential. Interesting implications time delay entropy,Asymptotically free quadratic gravity. An old candidate Quadratic Gravity,Generalization,with all quadratic.

curvature terms, Quadratic gravity is renormalizable and asymptotically free. Flat spacetime g h 1 k4 propagator softens UV divergence Stelle PRD 16 953 1977. Fradkin Tseytlin NPB 201 469 1982 Avramidi Barvinsky PLB 159 269 1985. Standard picture running couplings remain weak at the mass scale. But the perturbative spectrum suffers the ghost problem. Spin 2 sector h i 1 i i Vacuum instability,h propagator M22. M22 k2 k2 M22,Probability interpretation,M22 12 f22 M2. and unitarity problem,An old candidate Quadratic Gravity. Generalization,with all quadratic,curvature terms, Quadratic gravity is renormalizable and asymptotically free.

Flat spacetime g h 1 k4 propagator softens UV divergence Stelle PRD 16 953 1977. Fradkin Tseytlin NPB 201 469 1982 Avramidi Barvinsky PLB 159 269 1985. Standard picture running couplings remain weak at the mass scale. But the perturbative spectrum suffers the ghost problem. Spin 2 sector h i 1 i i Vacuum instability,h propagator M22. M22 k2 k2 M22,Probability interpretation,M22 12 f22 M2. and unitarity problem,HOWEVER note one caveat, The ghost problem based on tree level propagator is linked to the. assumption of weak couplings i e the perturbative analysis reflects. the true physical spectrum for any relevant physical process. p 1 2 1 2 1 2,SQQG d4 x g MR 2C 2R,HOWEVER note one caveat. The ghost problem based on tree level propagator is linked to the. assumption of weak couplings i e the perturbative analysis reflects. the true physical spectrum for any relevant physical process. p 1 2 1 2 1 2,SQQG d4 x g MR 2C 2R, BUT when M is small fi2 get strong at some scale QQG M.

Perturbative poles fall into the nonperturbative region. The theory may not have the ghost problem in the strong phase. Holdom Ren arXiv 1512 05305 1605 05006,Donoghue arXiv 1609 03523 1609 03524. A QCD analogy for Quadratic Gravity,Holdom Ren arXiv 1512 05305 1605 05006. QCD QQG M QQG e, UV behavior perturbative renormalizable asymptotically free. Strong scale gauge coupling strong at QCD,d gravitational couplings strong at QQGd. M 6 0 all perturbative poles removed,the transverse gluon removed.

from the physical spectrum and a mass,from the physical spectrum and. Nonperturb a mass gap developed as gap now controlled by M 6 0. ative effects controlled by QCD M 0 the massless graviton pole. conjecture,emerges as the only light state in the,physical spectrum. IR effective color singlet states described massless graviton described by GR with. description by Chiral Lagrangian the derivative expansion mPl QQGd. Conjecture led by an analogy between the full gluon propagator lattice and. full graviton propagator assuming the similarity of nonperturbative effects. Asymptotically free Quadratic Gravity,energy curvature. What nontrivial curved background solution can we have. As an approximation find solutions in the Classical Quadratic Gravity. that has the same limits in small and large curvatures. Difference from the effective theory no need to worry higher order terms when. describing solutions with arbitrarily large curvatures. Solutions in CQG as a way to interpolate through the region with large quantum. gravity effects only a thin shell in the solution of interest. The ghost instability is a defect of CQG but does not afflict configurations in QQG. Asymptotically free Quadratic Gravity,energy curvature. What nontrivial curved background solution can we have. As an approximation find solutions in the Classical Quadratic Gravity. that has the same limits in small and large curvatures. Difference from the effective theory no need to worry higher order terms when. describing solutions with arbitrarily large curvatures. Solutions in CQG as a way to interpolate through the region with large quantum. gravity effects only a thin shell in the solution of interest. The ghost instability is a defect of CQG but does not afflict configurations in QQG. Asymptotically free Quadratic Gravity,energy curvature.

What nontrivial curved background solution can we have. As an approximation find solutions in the Classical Quadratic Gravity. that has the same limits in small and large curvatures. Previous works treated this as a truncation and had problems with higher order. terms when describing solutions with arbitrarily large curvatures. A macroscopic large 2 2 hole its exterior has small curvature IR while the majority. Not Quite a Black Hole Jing Ren VIA lecture February 17 2017 Based on Holdom Ren arXiv 1512 05305 1605 05006 1612 04889 A novel horizonless 2 2 hole in Quadratic Gravity 1 First direct detection of gravitational wave Nice agreement with GR prediction for a binary black hole Inspiral large mass and high compactness Merger numerical relativity Ringdown dominant

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