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The Kerr solution is the cornerstone of General Relativity (GR) for modelling astrophysical rotating black holes and for testing GR through gravitational-wave observations and black hole imaging. Understanding how the Kerr geometry is…

广义相对论与量子宇宙学 · 物理学 2026-01-13 Jibril Ben Achour , Adolfo Cisterna , Hugo Roussille

The extended scalar-tensor and vector-tensor theories admit black hole solutions with the nontrivial profiles of the scalar and vector fields, respectively. The disformal transformation maps a solution in a class of the scalar-tensor or…

广义相对论与量子宇宙学 · 物理学 2020-12-29 Masato Minamitsuji

Using the disformal solution-generating method, we construct new axisymmetric solutions in Degenerate Higher Order Scalar Tensor (DHOST) theories. The method consists in first considering a "seed" known solution in DHOST theories and then…

广义相对论与量子宇宙学 · 物理学 2020-11-11 Jibril Ben Achour , Hongguang Liu , Hayato Motohashi , Shinji Mukohyama , Karim Noui

Solutions-generating methods based on field redefinitions, such as conformal mapping, play an important role in investigating exact solutions in modified gravity. In this work, we explore the possibility to use disformal field redefinitions…

广义相对论与量子宇宙学 · 物理学 2020-03-04 Jibril Ben Achour , Hongguang Liu , Shinji Mukohyama

This manuscript reviews the construction of exact solutions describing both (rotating) black holes and non-linear radiative spacetimes in the context of degenerate higher order scalar-tensor (DHOST) theories. We start be reviewing the…

广义相对论与量子宇宙学 · 物理学 2025-02-11 Jibril Ben Achour

In this work, we explore disformal transformations in the context of the teleparallel equivalent of general relativity and modified teleparallel gravity. We present explicit formulas in components for disformal transformations of the main…

广义相对论与量子宇宙学 · 物理学 2020-01-15 Alexey Golovnev , Maria Jose Guzman

We study new classes of metric transformations in the context of scalar-tensor theories, which involve both higher derivatives of the scalar field and derivatives of the metric itself. In general, such transformations are not invertible as…

广义相对论与量子宇宙学 · 物理学 2025-03-03 Eugeny Babichev , Keisuke Izumi , Karim Noui , Norihiro Tanahashi , Masahide Yamaguchi

In the wake of interest to find black hole solutions with scalar hair, we investigate the effects of disformal transformations on static spherically symmetric space-times with a non-trivial scalar field. In particular, we study solutions…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Guillem Domènech , Atsushi Naruko , Misao Sasaki , Christof Wetterich

Motivated by the hindrance of defining metric tensors compatible with the underlying spinor structure, other than the ones obtained via a conformal transformation, we study how some geometric objects are affected by the action of a…

广义相对论与量子宇宙学 · 物理学 2019-10-15 Iarley P. Lobo , Gabriel G. Carvalho

Disformal theories of gravity are scalar-tensor theories where the scalar couples derivatively to matter via the Jordan frame metric. These models have recently attracted interest in the cosmological context since they admit accelerating…

广义相对论与量子宇宙学 · 物理学 2015-11-04 Hiu Yan Ip , Jeremy Sakstein , Fabian Schmidt

Generic black holes in vacuum-de Sitter / Anti-de Sitter spacetimes are studied in quasi-local framework, where the relevant properties are captured in the intrinsic geometry of the null surface (the horizon). Imposing the quasi-local…

广义相对论与量子宇宙学 · 物理学 2018-08-08 Denis Dobkowski-Ryłko , Jerzy Lewandowski , Tomasz Pawłowski

Contrary to conformal transformations, disformal transformations can change the principal null directions of a spacetime geometry. Thus, depending on the frame a gravitational wave (GW) detector minimally couples to, the properties of GWs…

广义相对论与量子宇宙学 · 物理学 2025-02-12 Jibril Ben Achour , Mohammad Ali Gorji , Hugo Roussille

We analyse the dynamical properties of disformally transformed theories of gravity. We show that disformal transformation typically introduces novel degrees of freedom, equivalent to the mimetic dark matter, which possesses a Weyl-invariant…

广义相对论与量子宇宙学 · 物理学 2022-11-14 Pavel Jiroušek , Keigo Shimada , Alexander Vikman , Masahide Yamaguchi

Conformal and disformal transformations are now being very intensively studied in the context of various modified gravity theories. In particular, some special classes of them can be used for constructing Mimetic Dark Matter models.…

广义相对论与量子宇宙学 · 物理学 2023-01-10 Alexey Golovnev

Symmetries play an important role in fundamental physics. In gravity and field theories, particular attention has been paid to Weyl (or conformal) symmetry. However, once the theory contains a scalar field, conformal transformations of the…

广义相对论与量子宇宙学 · 物理学 2023-04-24 Guillem Domènech , Alexander Ganz

We revisit the definition of transverse frames and tetrad choices with regards to its application to numerically generated spacetimes, in particular those from the merger of binary black holes. We introduce the concept of local and…

广义相对论与量子宇宙学 · 物理学 2021-08-25 Nicole Rosato , Hiroyuki Nakano , Carlos O. Lousto

We consider a higher-derivative generalization of disformal transformations in $D$-dimensional spacetime and clarify the conditions under which they form a group with respect to the matrix product and the functional composition. These…

广义相对论与量子宇宙学 · 物理学 2022-01-06 Kazufumi Takahashi , Hayato Motohashi , Masato Minamitsuji

We show that a spacetime satisfying the linearized vacuum Einstein equations around a type D background is generically of type I, and that the splittings of the Principal Null Directions (PNDs) and of the degenerate eigenvalue of the Weyl…

广义相对论与量子宇宙学 · 物理学 2015-09-30 Bernardo Araneda , Gustavo Dotti

We analyze the post-Newtonian orbit of stars around a deformed Kerr black hole. The deformation we consider is a class of disformal transformations of a nontrivial Kerr solution in scalar-tensor theory which are labeled via the disformal…

广义相对论与量子宇宙学 · 物理学 2021-06-15 Timothy Anson , Eugeny Babichev , Christos Charmousis

The approach to incorporate quantum effects in gravity by replacing free particle geodesics with Bohmian non-geodesic trajectories has an equivalent description in terms of a conformally related geometry, where the motion is force free,…

广义相对论与量子宇宙学 · 物理学 2021-11-10 Sandip Chowdhury , Kunal Pal , Kuntal Pal , Tapobrata Sarkar
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