REVIEW 9 cited by
Shortcuts to high symmetry solutions in gravitational theories
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Shortcuts to high symmetry solutions in gravitational theories
read the original abstract
We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those -highly symmetric -geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of judiciously violating the rules of variational principles by inserting highly symmetric, and seemingly gauge fixed, metrics into the action, then varying it directly to arrive at a small number of transparent, indexless, field equations. Illustrations include spherically and axially symmetric solutions in a wide range of models beyond D=4 Einstein theory; already at D=4, novel results emerge such as exclusion of Schwarzschild solutions in cubic curvature models and restrictions on ``independent'' integration parameters in quadratic ones. Another application of Weyl's method is an easy derivation of Birkhoff's theorem in systems with only tensor modes. Other uses are also suggested.
Forward citations
Cited by 9 Pith papers
-
All $2D$ generalised dilaton theories from $d\geq 4$ gravities
Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are ...
-
All $2D$ generalised dilaton theories from $d\geq 4$ gravities
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
-
Regular black holes from pure gravity in four dimensions
A construction of four-dimensional pure-gravity actions whose vacuum solutions include the Hayward and Dymnikova regular black holes, via a lift from two-dimensional Horndeski theory.
-
Spherically symmetric solutions in quasi-local Einstein-Weyl gravity
In quasi-local Einstein-Weyl gravity, static spherically symmetric Frobenius solutions are classified: regular cores only, Schwarzschild-like horizons and wormhole throats, plus asymptotic 1/r^6 corrections to Schwarzschild.
-
$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
-
Minisuperspace Double Copy in Lifshitz Spacetimes
A radial operator extracted from the reduced gravitational dynamics in Lifshitz spacetimes directly reproduces the Maxwell operator for the temporal single-copy field without using equations of motion.
-
Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
Derives perturbative noncommutative corrections to the metric tensor and gauge potential for static spherically symmetric dyonic black holes in several nonlinear electrodynamics theories.
-
Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons
Chern-Simons AdS5 black holes with SU(2) solitons have entropy that receives nontrivial contributions from axial torsion and trace-torsion modes, confirmed by multiple methods.
-
Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
For charged regular AdS black holes in quasi-topological gravity, the null-geodesic Lyapunov exponent jumps at the first-order phase transition and its phase difference vanishes at the critical point with exponent 1/2...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.