Black holes and other exact spherical solutions in quadratic gravity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00520855" target="_blank" >RIV/67985840:_____/20:00520855 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/20:10424526

Result on the web

<a href="https://doi.org/10.1103/PhysRevD.101.024027" target="_blank" >https://doi.org/10.1103/PhysRevD.101.024027</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.101.024027" target="_blank" >10.1103/PhysRevD.101.024027</a>

Result language

angličtina

Original language name

Black holes and other exact spherical solutions in quadratic gravity

Original language description

We study static, spherically symmetric vacuum solutions to quadratic gravity, extending considerably our previous rapid communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at a much simpler form of the field equations in comparison with their expression in the standard spherically symmetric coordinates. We present details of the derivation of this compact form of two ordinary differential field equations for two metric functions. Next, we apply analytical methods and express their solutions as infinite power series expansions. We systematically derive all possible cases admitted by such an ansatz, arriving at six main classes of solutions, and provide recurrent formulas for all the series coefficients. These results allow us to identify the classes containing the Schwarzschild black hole as a special case. It turns out that one class contains only the Schwarzschild black hole, three classes admit the Schwarzschild solution as a special subcase, and two classes are not compatible with the Schwarzschild solution at all since they have strictly nonzero Bach tensor. In our analysis, we naturally focus on the classes containing the Schwarzschild spacetime, in particular on a new family of the Schwarzschild-Bach black holes which possesses one additional non-Schwarzschild parameter corresponding to the value of the Bach tensor invariant on the horizon. We study its geometrical and physical properties, such as basic thermodynamical quantities and tidal effects on free test particles induced by the presence of the Bach tensor. We also compare our results with previous findings in the literature obtained using the standard spherically symmetric coordinates.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physical Review D

ISSN

2470-0010

e-ISSN

—

Volume of the periodical

101

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

33

Pages from-to

024027

UT code for WoS article

000506592700004

EID of the result in the Scopus database

2-s2.0-85078124815