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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Apr 200419922001200920172026
4 results for “Schwarzschild-AdS”
Asymptotically Hyperbolic Einstein Constraint Equations with Apparent Horizon Boundary and the Penrose Inequality for Perturbations of Schwarzschild-AdSgr-qc

Proves existence of solutions to Einstein constraints with specific boundary conditions and verifies Penrose inequality.

problem Existence of asymptotically hyperbolic solutions to Einstein constraints with marginally outer trapped boundaries.
method Constant mean curvature conformal method.
result Verification of Penrose inequality for certain Schwarzschild-AdS black hole perturbations.
Einstein constraintsPenrose inequalitySchwarzschild-AdSmarginally outer trapped boundary
2022-09-02abs ↗pdf ↗
Transition from big crunch to big bang in brane cosmologygr-qc

We consider branes $N=I\times\so$, where $\so$ is an nn\ndash dimensional space form, not necessarily compact, in a Schwarzschild-AdS_{(n+2)} bulk $\mc N$. The branes have a big crunch singularity. If a brane is an ARW space, then, under certain conditions, there exists a smooth natural transition flow through the sin…

2004-04-13abs ↗pdf ↗
The Spacetime Penrose Inequality for Cohomogeneity One Initial Datamath.DG

Proves Penrose inequality for cohomogeneity one initial data sets.

problem Proving Penrose inequality for specific initial data sets.
method Analyzing asymptotically flat and hyperbolic initial data sets under cohomogeneity one actions.
result Total mass is bounded below by a function of outermost apparent horizon area, with equality for Schwarzschild(-AdS) embeddings.
Penrose inequalitycohomogeneity oneinitial dataasymptotically flatasymptotically hyperbolic
2024-04-20abs ↗pdf ↗
Stability of Minkowski-type inequalities in certain warped product spacesmath.DG

The paper examines stability of Minkowski inequalities in warped product spaces.

problem Stability of Minkowski-type inequalities for hypersurfaces in warped product spaces.
method Established a stability estimate for the norm of the traceless second fundamental form.
result Proved stability of Minkowski inequalities in specific warped product examples.
Minkowski inequalitieswarped product spacesstability estimatessecond fundamental formhypersurfaces
2025-05-09abs ↗pdf ↗