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Topological Censorship
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abstract
All three-manifolds are known to occur as Cauchy surfaces of asymptotically flat vacuum spacetimes and of spacetimes with positive-energy sources. We prove here the conjecture that general relativity does not allow an observer to probe the topology of spacetime: any topological structure collapses too quickly to allow light to traverse it. More precisely, in a globally hyperbolic, asymptotically flat spacetime satisfying the null energy condition, every causal curve from $\scri^-$ to ${\scri}^+$ is homotopic to a topologically trivial curve from $\scri^-$ to ${\scri}^+$. (If the Poincar\'e conjecture is false, the theorem does not prevent one from probing fake 3-spheres).
Forward citations
Cited by 12 Pith papers
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A No-Go Theorem for Topological Bridges with Matter-Vacuum Coupling
Matter-vacuum coupling cannot eliminate the need for null energy condition violation in static zero-tidal-force traversable topological bridges.
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Exact black holes and black branes with bumpy horizons supported by superfluid pions
Exact solutions in Einstein-SU(2) sigma model yield black holes and branes with bumpy horizons stabilized by integer vorticity of superfluid pions.
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Nonuniqueness of capped black holes: large and small bubbles
A four-parameter capped black hole solution in 5D minimal supergravity exhibits two branches with identical conserved charges, demonstrating non-uniqueness for spherical black holes.
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Stationary generalizations for the vacuum ring wormhole
Numerical non-perturbative stationary vacuum ring wormhole solutions invariant under throat reflections, with slow-rotation M ~ J^2, fast-rotation J = M^2, and limits mimicking extremal Kerr.
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Charged multi-sheet wormhole solutions
Constructs charged multi-sheet wormhole solutions in 4D Einstein-Maxwell-massless phantom scalar gravity via Harrison transformation, demonstrating regular solutions exist beyond the Q_e² + Q_m² < M² bound with throat...
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Affine ANEC selects the closed FRW branch for geodesically complete cosmology
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
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Algebraic traversable wormholes
Proposes a new large N limit dual to back-reacted traversable wormholes via algebra-at-infinity operators and algebraically reproduces the Maldacena-Stanford-Yang result on left-right observer effects.
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Gravitational Effective Field Theories and Black Hole Mechanics
In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the ...
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The energy conditions and model selection in the local Universe
Local HII galaxy and cosmic chronometer data favor the Rh=ct universe over ΛCDM at 92% vs 8% likelihood, with Rh=ct satisfying all energy conditions while ΛCDM violates the strong energy condition at z≲2.
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Modave lectures on energy conditions in quantum field theory and semi-classical gravity
Review of classical energy conditions, their quantum violations, and information-theoretic bounds for semi-classical gravity, based on Modave lectures.
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Energy Correlators: A Journey From Theory to Experiment
A review of energy correlators and their role in QCD, collider experiments, and formal quantum field theory.
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Introduction to Black Hole Thermodynamics
A pedagogical review by Edward Witten that derives and explains the standard results of black hole thermodynamics: black hole entropy and temperature, the Unruh effect, the Euclidean approach, and the Ryu-Takayanagi formula.
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