Shadows, signals, and stability in Einsteinian cubic gravity

Hennigar, Robie A.; Poshteh, Mohammad Bagher Jahani; Mann, Robert B.

doi:10.1103/physrevd.97.064041

Cited by 95 publications

(97 citation statements)

References 48 publications

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“…Using (14), (54), (57) and our explicit formula for S (n) | f in eq. (20), we find that the equation of f (r) can be integrated once, and we are left with eq.…”

Section: Generalized Quasi-topological Gravitiesmentioning

confidence: 99%

(Generalized) quasi-topological gravities at all orders

Bueno¹,

Cano²,

Hennigar³

2019

Class. Quantum Grav.

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A new class of higher-curvature modifications of D(≥ 4)-dimensional Einstein gravity has been recently identified. Densities belonging to this "Generalized quasi-topological" class (GQTGs) are characterized by possessing non-hairy generalizations of the Schwarzschild black hole satisfying g tt g rr = −1 and by having second-order equations of motion when linearized around maximally symmetric backgrounds. GQTGs for which the equation of the metric function f (r) ≡ −g tt is algebraic are called "Quasi-topological" and only exist for D ≥ 5. In this paper we prove that GQTG and Quasi-topological densities exist in general dimensions and at arbitrarily high curvature orders. We present recursive formulas which allow for the systematic construction of n-th order densities of both types from lower order ones, as well as explicit expressions valid at any order. We also obtain the equation satisfied by f (r) for general D and n. Our results here tie up the remaining loose end in the proof presented in arXiv:1906.00987 that every gravitational effective action constructed from arbitrary contractions of the metric and the Riemann tensor is equivalent, through a metric redefinition, to some GQTG.

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“…Using (14), (54), (57) and our explicit formula for S (n) | f in eq. (20), we find that the equation of f (r) can be integrated once, and we are left with eq.…”

Section: Generalized Quasi-topological Gravitiesmentioning

confidence: 99%

(Generalized) quasi-topological gravities at all orders

Bueno¹,

Cano²,

Hennigar³

2019

Class. Quantum Grav.

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show abstract

“…To find an analytic approximation for the free parameter a 2 that appears in the first order expansion of equation of motion near the horizon, we use the method discussed in the appendix of [9]. We apply the method to find the results of section 6.…”

Section: A Explicit Form Of Lagrangian Densitiesmentioning

confidence: 99%

“…As discussed earlier the field equations at each order determine the parameters in the expansion in terms of a 2 , but a 2 = f (r + )/2 itself remains undetermined. One approach for fixing this free parameter is to use the shooting method such that the numerical solution for the metric function reaches the known asymptotic solution at large r. Another method [9] entails considering a 2 = g(λ).…”

Section: A Explicit Form Of Lagrangian Densitiesmentioning

confidence: 99%

“…These studies are motivated both by a desire to understand the ultraviolet behaviour of gravity and by a realization that terms non-linear in the curvature generically appear in perturbative calculations, particularly in string theory [1]. Furthermore, an analysis of this class of theories provides us with new insights into general relativity (or Einstein gravity) and may even provide new empirical tests of gravitational physics [2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…Further holographic applications of this class of theories have been carried out, with discussions of the a-theorem, the universal stress-tensor two-point function and a universal relation for central charges [36][37][38]; more recently an extensive investigation of the holographic properties of the cubic case without massive modes was carried out, including holographic central charges, energy flux, Renyi entropies, and shear viscosity to entropy ratio [39]. Other recent work has shown that the shadows of GQG black holes have potentially interesting phenomenological signatures [9,10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography

Mir

Mann

2019

J. High Energ. Phys.

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We investigate the thermodynamic behaviour of asymptotically anti de Sitter black holes in generalized quasi-topological gravity containing terms both cubic and quartic in the curvature. We investigate the general conditions required for physical phase transitions and critical behaviour in any dimension and then consider in detail specific properties in spacetime dimensions 4, 5, and 6. We find for spherical black holes that there are respectively at most two and three physical critical points in five and six dimensions. For hyperbolic black holes we find the occurrence of Van der Waals phase transitions in four dimensions and reverse Van der Waals phase transitions in dimensions greater than 4 if both cubic and quartic curvature terms are present. We also observe the occurrence of phase transitions in for fixed chemical potential. We consider some applications of our work in the dual CFT, investigating how the ratio of viscosity to entropy is modified by inclusion of these higher curvature terms. We conclude that the presence of the quartic curvature term results in a violation of the KSS bound in five dimensions, but not in other dimensions.

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Black Hole in Quantum Wave Dark Matter

Pantig

Овгун

2022

Fortschritte der Physik

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In this work, we explored the effect of the fuzzy dark matter (FDM) (or wave dark matter) halo on a supermassive black hole (SMBH). Such a dark matter introduces a soliton core density profile, and we treat it ideally as a spherical distribution that surrounds the SMBH located at its center. In this direction, we obtained a new metric due to the union of the black hole and dark matter spacetime geometries. We applied the solution to the two known SMBH ‐ Sgr. A* and M87* and used the empirical data for the shadow diameter by EHT to constrain the soliton core radius rnormalc$r_\text{c}$ given some values of the boson mass mnormalb$m_\text{b}$. Then, we examine the behavior of the shadow radius based on such constraints and relative to a static observer. We found that different shadow sizes are perceived at regions robsrc$r_\text{obs}>r_\text{c}$, and the deviation is greater for values mb<10−22$m_\text{b}<10^{-22}$ eV. Concerning the shadow behavior, we have also analyzed the effect of the soliton profile on the thin‐accretion disk. Soliton dark matter effects manifest through the varying luminosity near the event horizon. We also analyzed the weak deflection angle and the produced Einstein rings due to soliton effects. We found considerable deviation, better than the shadow size deviation, for the light source near the SMBH with impact parameters comparable to the soliton core. Our results suggest the possible experimental detection of soliton dark matter effects using an SMBH at the galactic centers.

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Shadows, signals, and stability in Einsteinian cubic gravity

Cited by 95 publications

References 48 publications

(Generalized) quasi-topological gravities at all orders

(Generalized) quasi-topological gravities at all orders

On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography

Black Hole in Quantum Wave Dark Matter

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