Circular orbit specific angular momentum lK+ given by equation (17) for various boson stars (upper row, bottom left panel), together with the same quantity for the Kerr metric with a/M = 0.9 (bottom right panel). Boson star angular momenta are plotted for r > rICO while the Kerr angular momentum is plotted for all radii above the horizon.

Circular orbit specific angular momentum lK+ given by equation (17) for various boson stars (upper row, bottom left panel), together with the same quantity for the Kerr metric with a/M = 0.9 (bottom right panel). Boson star angular momenta are plotted for r > rICO while the Kerr angular momentum is plotted for all radii above the horizon.

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Accretion disks play an important role in the evolution of their relativistic inner compact objects. The emergence of a new generation of interferometers will allow to resolve these accretion disks and provide more information about the properties of the central gravitating object. Due to this instrumental leap forward it is crucial to investigate...

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... One way to detect them would be by indirect observation of the accretion disks that could form around them, in case that one could distinguish these accretion disks from those that would form around other objects like black holes. In that regard, they may possess bound circular orbits which also extend into the inner regions with high density of the scalar field distribution in contrast to black holes [37]. Additionally, the formation of a shadow in the strict sense would be prevented since they are horizonless, but nevertheless (in the presence of accretion disks) a central dark region will be observed similar to that of black holes, which corresponds to the lensed image of an accretion disk's inner edge [38][39][40][41]. ...
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... Some BS configurations also feature photon spheres around them, which is otherwise seen as a characteristic feature of black hole spacetimes [157]. According to a number of simulations [17,156,158], they would however show distinguishable torus accretion dynamics compared to black holes. Since BS do not have an event horizon, matter could accumulate in the centre of boson stars, leaving clear imprints of radiating matter inside the BS [159,160,161], for example in form of thermal or X-ray radiation [162]. ...
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... If indeed a boson star collapses to a BH, then one could hope to observe the QNM of the massive scalar field, as described in Hod (2011). Differences between accretion structures surrounding boson stars and black holes are analyzed in Meliani et al. (2015), showing that the accretion tori around boson stars have different characteristics than in the vicinity of a black hole. Similar differences have been reported regarding tidal disruption clouds orbiting either a spherically symmetric compact boson star or a Schwarzschild black hole (Teodoro et al. 2021). ...
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... For instance, the properties -either equilibrium or dynamical -of geometrically thick tori have been explored in Schwarzschild-de-Sitter spacetimes (Rezzolla et al. 2003b;Stuchlik et al. 2009), in (Newman-Unti-Tamburino) NUT spacetimes (Jefremov & Perlick 2016), in spherically symmetric spacetimes in ( )-gravity (Cruz-Osorio et al. 2021), around Kerr black holes with a scalar hair (Gimeno-Soler et al. 2019;Gimeno-Soler et al. 2021;Teodoro et al. 2021b), or more recently in the so-calledmetric (Faraji & Trova 2021;Memmen & Perlick 2021) 1 . Finally, equilibrium tori also have been investigated around ultra-compact objects different from black holes, such as boson stars (Meliani et al. 2015;Olivares et al. 2020;Teodoro et al. 2021a), or naked singularities in Kerr-de Sitter spacetimes Stuchlík et al. (2015). ...
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... They produce a strong gravitational field and negligible electromagnetic emission, in this way they are mimicking the properties of black holes. Various boson star configurations have been constructed [31][32][33][34][35][36][37][38][39][40], and their properties were investigated such as stability [41][42][43], geodesic motion [44][45][46][47][48][49] and tidal effects in the motion of gas clouds around them [50,51]. Since they are horizonless compact objects, which are not characterized by a solid boundary but rather by a decaying profile of the scalar field density towards infinity, the particles and light propagation in their vicinity is specific leading to phenomenological signatures. ...
... Since they are horizonless compact objects, which are not characterized by a solid boundary but rather by a decaying profile of the scalar field density towards infinity, the particles and light propagation in their vicinity is specific leading to phenomenological signatures. For example, boson stars may possess only bound circular orbits which extend into the inner regions with high density of the scalar field distribution [47]. In addition, photon rings may be absent which prevents the formation of a shadow in the strict sense. ...
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... The unusual structure of COD around relativistic objects is not a prerogative of F/JNW; the uncomplete list of papers includes, e.g., [13][14][15][16][17][18][19][20][21][22][23]. As for the configurations with scalar fields, apart from F/JNW, the non-connected SCO distributions have been demonstrated in the case of massive SF [22] and in case of nonlinear SFs with the monomial potential [9,23]. ...
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... Without loss of the generality, we assume Q > 0. We begin with some general analytical results concerning the sign ofL 2 (r) (i.e., where either SCO or UCO can exist) that follow directly from (16). ...
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We study effects of the particles coupling with scalar field (SF) on the distribution of stable circular orbits (SCO) around the naked singularity described by the well-known Fisher-Janis-Newman-Winicour solution. The power-law and exponential models of the particle--SF interaction are analyzed. The focus is on the non-connected SCO distributions. We show that coupling between particles and SF can essentially complicate the topology of the SCO distributions. In particular, it can lead to new non-overlapping SCO regions, which are separated by unstable orbits and/or by regions where the circular orbits do not exist.
... GRMHD simulations with a similar setup are also used to address advection-dominated flows, the evolution of weakly magnetized disks, jet formation, and the differences between possible images of black holes (BHs) and boson stars (BSs) [7][8][9][10][11][12]. Outside the context of GRMHD simulations, Polish doughnuts are also used to address possible tori geometries around exotic spacetimes such as Kerr-de Sitter backgrounds, distorted static BHs, deformed compact objects, Kehagias-Sfetsos naked singularities, and BSs [13][14][15][16][17][18][19]. Although some models of doughnuts may include magnetic fields and nonconstant specific angular momentum distribution, the constant specific angular momentum case remains an important first step in this field of research, since in this case the torus solutions are marginally stable for Kerr BHs and hold similar topologies as the ones found for different specific angular momentum distributions [20,21]. ...
... As shown in [19], rotating BSs endowed with a static ring [38] are able to shelter tori presenting the so called static surfaces as well as compelling topologies (see also [18]). Similar results can be found for KBHsSH. ...
... One cusp connects the two centers, as typically happens for rotating BSs, but another cusp appears that connects the torus with the event horizon of the solution. It is also interesting to note that previously prograde doubled-centered tori were only found for BSs with winding number k > 3 [18]. In contrast, for KBHsSH, k ¼ 1 is sufficient to produce such configurations. ...
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... There are a number of papers on this subject including those, which use FJNW solution dealing with the linear SF [26,[28][29][30][31][32][33] and it would be interesting to study effects of nonlinearity. Several examples [32,[34][35][36][37][38][39][40][41] demonstrate occurrence of circular orbit distributions with several non-connected rings of SCO. This may be of particular interest as observational signs of differences from ordinary black holes, as well as the unusual form of the accretion disk images and/or their radiation properties [23,[29][30][31][42][43][44][45][46][47]. ...
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... Inspired by Wheeler's geon [25], BSs were first obtained half a century ago [26][27][28], and many of their aspects have been thereon extensively studied, as, e.g., spinning BS configurations [29][30][31][32][33][34][35], stability and formation [23,[36][37][38], or geodesic motion around them [39][40][41][42][43][44]. Boson stars could form through a process called gravitational cooling, where an initial cloud of scalar matter undergoes gravitational collapse and ejects matter and angular momentum through a series of cascade events until it settles into an equilibrium configuration. ...
... In [18], the authors find that the dark region resembling the shadow of a BH in the image due to a non-rotating BS is too small to fit the data from M87, but further investigation is required before dismissing the possibility of it being a rotating BS. Regarding fluid configurations around BSs, not only has research been done in the direction of disks [17][18][19]42] but also on tidal disruption events and disk formation [45,46]. ...
... In the context of GRMHD simulations, for example, they are used as initial condition to investigate advection-dominated flows [50], weakly magnetized disks [51], jet formation [52], similarities and differences between BH and BS images [17][18][19] and so on. The doughnuts are also a starting point for many analytical studies, among which we would like to highlight the ones regarding accretion disks sheltered by less-mainstream spacetimes, like Kerr-de Sitter backgrounds [53], Kerr black holes with scalar hair [54], distorted static BHs [55], deformed compact objects [56] and also BSs [42]. ...
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We investigate polish doughnuts with a uniform constant specific angular momentum distribution in the space-times of rotating boson stars. In such space-times thick tori can exhibit unique features not present in Kerr space-times. For instance, in the context of retrograde tori, they may possess two centers connected or not by a cusp. Rotating boson stars also feature a static ring, neither present in Kerr space-times. This static ring consists of static orbits, where particles are at rest with respect to a zero angular momentum observer at infinity. Here we show that the presence of a static ring allows for an associated static surface of a retrograde thick torus, where inside the static surface the fluid moves in prograde direction. We classify the retrograde Polish doughnuts and present several specific examples.