English
Related papers

Related papers: Compatibility complex for black hole spacetimes

200 papers

Construction of the gauge-invariant variables for the linear metric perturbation, which was proposed in the paper [K. Nakamura, arXiv:1101.1147], is discussed through an alternative approach. Our starting point of the construction of the…

General Relativity and Quantum Cosmology · Physics 2011-03-17 Kouji Nakamura

It has recently been noticed that the degeneracies of the Poisson bracket of linearized gravity on constant curvature Lorentzian manifold can be described in terms of the cohomologies of a certain complex of differential operators. This…

General Relativity and Quantum Cosmology · Physics 2017-04-11 Igor Khavkine

The interpretation of the violation of Bell-Clauser-Horne inequalities is revisited, in relation with the notion of extension of QM predictions to unmeasurable correlations. Such extensions are compatible with QM predictions in many cases,…

Quantum Physics · Physics 2015-05-27 Costantino Budroni , Giovanni Morchio

Black-hole uniqueness, i.e., the statement that all stationary vacuum black holes in the universe are described by the Kerr solution, is expected to break in theories beyond General Relativity. This breaking can take a particularly strong…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Astrid Eichhorn , Pedro G. S. Fernandes , Lidia Marino

We obtain a geometrical condition on vacuum, stationary, asymptotically flat spacetimes which is necessary and sufficient for the spacetime to be locally isometric to Kerr. Namely, we prove a theorem stating that an asymptotically flat,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Marc Mars

Some judiciously chosen local curvature scalars can be used to invariantly characterize event horizons of black holes in $D > 3$ dimensions, but they fail for the three dimensional Ba\~nados-Teitelboim-Zanelli (BTZ) black hole since all…

High Energy Physics - Theory · Physics 2020-04-22 Aydin Tavlayan , Bayram Tekin

We extract exact charged black-hole solutions with flat transverse sections in the framework of D-dimensional Maxwell-f(T) gravity, and we analyze the singularities and horizons based on both torsion and curvature invariants. Interestingly…

High Energy Physics - Theory · Physics 2013-03-21 Salvatore Capozziello , P. A. Gonzalez , Emmanuel N. Saridakis , Yerko Vasquez

Employing the Newman-Penrose formalism and following the classic Teukolsky-like approach, we linearise the field equations of quadratic gravity on the Kerr background and combine them with the linearised Ricci and Bianch identities. This…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Simon Knoska , David Kofron , Robert Svarc

Inspired by non-commutative geometry in string theory, we propose extended derivatives in black hole physics by incorporating a real antisymmetric tensor of rank 2 carrying similarities of certain stringy fields. Using gauge theory…

High Energy Physics - Theory · Physics 2025-11-25 Adil Belhaj , Maryem Jemri

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

High Energy Physics - Theory · Physics 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We completely solve the Nijenhuis integrability conditions for Killing…

Differential Geometry · Mathematics 2014-07-30 Konrad Schöbel

In previous work we discussed the quantization of paths in spacetime. Building on these ideas we have developed a mathematically coherent theory addressing a number of open questions concerning Loop Quantum Gravity. Our approach develops a…

General Relativity and Quantum Cosmology · Physics 2019-02-07 James Moffat , Charles H. -T. Wang

Recently, two of us have found a family of singularity-free rotating black hole solutions in Einstein's conformal gravity. These spacetimes are characterized by three parameters: the black hole mass $M$, the black hole spin angular momentum…

General Relativity and Quantum Cosmology · Physics 2018-07-06 Menglei Zhou , Zheng Cao , Askar Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Leonardo Modesto , Sourabh Nampalliwar

Quantum complexity is conjectured to probe inside of black hole horizons (or wormhole) via gauge gravity correspondence. In order to have a better understanding of this correspondence, we study time evolutions of complexities for generic…

High Energy Physics - Theory · Physics 2018-04-11 Koji Hashimoto , Norihiro Iizuka , Sotaro Sugishita

We develop a method for constructing a 1-parameter family of globally-defined Love symmetry generators in rotating black hole spacetimes of general dimension. The key ingredient is to focus on the vicinity of the (physical) outer horizon,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Finnian Gray , Cynthia Keeler , David Kubiznak , Victoria Martin

In this paper, we study the recently discovered family of higher dimensional Kerr-AdS black holes with an extra NUT-like parameter. We show that the inverse metric is additively separable after multiplication by a simple function. This…

High Energy Physics - Theory · Physics 2009-11-11 Paul Davis

We construct Komar-type integrals for theories of gravity of higher order in the Riemann curvature coupled to simple kinds of matter (scalar and vector fields) and we use them to compute Smarr formulae for black-hole solutions in those…

General Relativity and Quantum Cosmology · Physics 2021-09-01 T. Ortín

In the present paper, the characterization of the Kerr metric found by Marc Mars is extended to the Kerr-Newman family. A simultaneous alignment of the Maxwell field, the Ernst two-form of the pseudo-stationary Killing vector field, and the…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Willie Wai-Yeung Wong

In this paper, we investigate static spherically symmetric solutions in the context of Conformal Killing Gravity, a recently proposed modified theory of gravity that offers a new approach to the cosmological constant problem. Coupling this…

In four space-time dimensions, there exists a special infinite-parameter family of chiral modified gravity theories. They are most properly described by a connection field, with space-time metric being a secondary and derived concept. All…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Kirill Krasnov , Yuri Shtanov