Various methods of obtaining an exact solution of Einstein field equations representing shear-free motion of a spherically symmetric perfect fluid have been discussed. The methods due to McVittie (1967) and Nariai (1967), where one assumes the metric in a convenient form form one group, and the methods due to Kustaanheimo and Qvist (1948), Chakravarty et al. (1976) and Wyman (1976) where one chooses suitably an arbitrary function of integration form the other group.

We present Hi observations of four giant low surface brightness (GLSB) galaxies UGC 1378, UGC 1922, UGC 4422 and UM 163 using the Giant Meterwave Radio Telescope (GMRT). We include Hi results on UGC 2936, UGC 6614 and Malin 2 from literature. Hi is detected from all the galaxies and the extent is roughly twice the optical size; in UM 163, Hi is detected along a broken disk encircling the optical galaxy. We combine our results with those in literature to further understand these systems. The main results are the following: (1) The peak Hi surface densities in GLSB galaxies are several times 10 21 cm −2 . The Hi mass is between 0.3 − 4 × 10 10 M ⊙ , dynamical mass ranges from a few times 10 11 M ⊙ to a few times 10 12 M ⊙ . (2) The rotation curves of GLSB galaxies are flat to the outermost measured point with rotation velocities of the seven GLSB galaxies being between 225 and 432 km s −1 . (3) Recent star formation traced by near-ultraviolet emission in five GLSB galaxies in our sample appears to be located in rings around the galaxy centre. We suggest that this could be due to a stochastic burst of star formation at one location in the galaxy being propagated along a ring over a rotation period. (4) The Hi is correlated with recent star formation in five of the seven GLSB galaxies.

SAPHO, an acronym for synovitis, acne, pustulosis, hyperostosis and osteitis, is a heterogeneous entity with myriad presentations and features overlapping with other entities. It is a differential in patients presenting with skin and bone symptoms, either singly or in combination. Often misdiagnosed radiologically as a malignancy or infection, the diagnosis is seldom thought of. We present three cases referred to us for evaluation of findings unrelated to the presenting symptoms. After evaluation, a (99)Tc bone scan was ordered, which showed the 'bull's head sign' in all the three cases, confirming the diagnosis. We review the literature for SAPHO. It has a few features which point to its diagnosis and can help us to distinguish it from other seronegative arthritis. The clinician should be aware of this entity and should not hesitate to order a (99)Tc bone scan. We conclude that SAPHO is not rare, but rather, it is underdiagnosed. High index of suspicion is necessary for diagnosis. A (99)Tc bone scan is diagnostic and should be ordered in patients having any of the presenting features of the syndrome. We put forward the suggestion of using (99)Tc bone scintigraphy to define a 'pre-MRI' stage of ankylosing spondylitis.

Aim:This work was carried out to study the hematologic profile of human immunodeficiency virus (HIV)-positive patients and its association with the clinicoimmunologic stage of the disease.Materials and Methods:A total of 187 patients with HIV, whether symptomatic or asymptomatic, diagnosed by enzyme-linked immunosorbent assay (ELISA) method according to the National AIDS Control Organization (NACO) guidelines were included in this study. Patients in the study population were divided into two groups: (1) Group A (antiretroviral therapy (ART) included patients receiving ART [ART-Y]) and (2) Group B included treatment naïve patients (ART-N). The patients were tested for hemoglobin (Hb), total red blood cells (RBC) count, RBC indices, reticulocyte count, packed cell volume (PCV), total lymphocyte counts(TLC), differential leukocyte counts (DLC), platelet count, and erythrocyte sedimentation rate (ESR). Cut-off values were determined as Hb < 10 g/dl, platelet count < 1.5 lakh/cumm, and TLC < 4,000/cumm. The group or categorical data were tested for statistical significance using Chi-square test and Z-test. The difference was reported as significant if P < 0.05.Results:(1) Anemia (predominantly normocytic normochromic) was prevalent in 40.1%, with slightly higher prevalence in those not receiving ART. It occurred with high frequency in patients with immunological (42.05%) and clinical acquired immunodeficiency disease syndrome (AIDS) (70.58%) compared with those who had an asymptomatic HIV infection with CD4 > 200/μl (28.57%). Patients on zidovudine (AZT) therapy had 34.6% anemia with increased mean corpuscular volume (MCV). (2) Thrombocytopenia was seen in 3.74% patients (higher percentage in untreated patients). (3) Leucopenia was observed in 5.88% in ART-Y (Group A) and 8.14% in ART-N (Group B) patients. (4) Pancytopenia was found in 1.6% patients.

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