Gravitational solitons \nin anti-de sitter spacetimes
Bibliographic record
Abstract
A gravitational soliton is a geodesically complete, globally stationary (and horizonfree) \nnon-trivial solution of the Einstein equations, with prescribed asymptotic geometry. \nIt is a classic theorem of Lichnerowicz [1] that in the standard four-dimensional \nEinstein-Maxwell theory, asymptotically \nat solitons do not exist, and that the only \nnon-trivial electrovacuum solutions must contain black holes. However, in dimensions \ngreater than four, many explicit asymptotically \nat examples are now known. This \nthesis is concerned with gravitational solitons that are asymptotic to (locally) anti-de \nSitter (AdS) spacetime. AdS is the maximally symmetric solution of the Einstein \nequations with negative cosmological constant. Asymptotically AdS geometries have \nattracted a great deal of interest in theoretical physics over the past two decades. \nIn Chapter 2, we construct supersymmetric, asymptotically AdS5 gravitational soliton \nsolutions of �ve-dimensional gauged supergravity. We show that the solitons \ncontain evanescent ergosurfaces and give an argument that these solitons should be \nnonlinearly unstable. In Chapter 3, we revisit a well-known example of a gravitational \nsoliton in AdS, the Eguchi-Hanson-AdS5 solution, and investigate a number of \nits geometric and thermodynamic properties. In particular we show that the linear \nscalar (Klein-Gordon) wave equation admits normal mode solutions, just like pure \nAdS. In Chapter 4, we then construct supersymmetric gravitational soliton solutions \nthat are are complete, globally stationary, 1=4-BPS and are asymptotically locally \nAdS5. Finally, in Chapter 5, we discuss some future directions and ongoing research.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".