Black holes in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> gravity

نویسندگان

چکیده

We systematically study the field equations of $f(\mathbb Q)$ gravity for spherically symmetric and stationary metric-affine spacetimes. Such spacetimes are described by a metric as well flat torsionless affine connection. In Symmetric Teleparallel Equivalent GR (STEGR), connection is pure gauge hence unphysical. However, in non-linear extension $f(\Q)$, it promoted to dynamical which changes physics. Starting from general geometry, we construct most static forms then use these symmetry reduced geometric objects prove that $f(\Q)$ admit solutions beyond-GR solutions, contrary what has been claimed literature. formulate precise criteria, under conditions possible obtain solutions. subsequently several perturbative corrections Schwarzschild solution different choices particular include hair stemming now also present an exact vacuum solution. Lastly, apply this method constructing $f(\T)$ gravity, reproduces similar but without

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ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.105.024042